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37114074372 = 223295915111971
BaseRepresentation
bin100010100100001010…
…111101010100000100
310112210112200022210010
4202210022331110010
51102002200334442
625014443230220
72452502266314
oct424412752404
9115715608703
1037114074372
1114815a22441
127239518370
1336661cba6b
141b211bb444
15e73477b9c
hex8a42bd504

37114074372 has 96 divisors (see below), whose sum is σ = 91715097600. Its totient is φ = 11663568000.

The previous prime is 37114074341. The next prime is 37114074373. The reversal of 37114074372 is 27347041173.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 37114074372.

It is not an unprimeable number, because it can be changed into a prime (37114074373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3094347 + ... + 3106317.

It is an arithmetic number, because the mean of its divisors is an integer number (955365600).

Almost surely, 237114074372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37114074372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45857548800).

37114074372 is an abundant number, since it is smaller than the sum of its proper divisors (54601023228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37114074372 is a wasteful number, since it uses less digits than its factorization.

37114074372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12217 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 37114074372 in words is "thirty-seven billion, one hundred fourteen million, seventy-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 59 87 116 118 151 174 177 236 302 348 354 453 604 708 906 1711 1812 3422 4379 5133 6844 8758 8909 10266 11971 13137 17516 17818 20532 23942 26274 26727 35636 35913 47884 52548 53454 71826 106908 143652 258361 347159 516722 694318 706289 775083 1033444 1041477 1388636 1412578 1550166 1807621 2082954 2118867 2825156 3100332 3615242 4165908 4237734 5422863 7230484 8475468 10845726 20482381 21691452 40964762 52421009 61447143 81929524 104842018 106649639 122894286 157263027 209684036 213299278 245788572 314526054 319948917 426598556 629052108 639897834 1279795668 3092839531 6185679062 9278518593 12371358124 18557037186 37114074372