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4745004957 = 327112191812
BaseRepresentation
bin1000110101101001…
…10000011110011101
3110020200120020010100
410122310300132131
534204210124312
62102501531313
7225404606460
oct43264603635
913220506110
104745004957
112015482500
12b05113b39
135a808a754
143302852d7
151cb8875dc
hex11ad3079d

4745004957 has 108 divisors (see below), whose sum is σ = 9113351520. Its totient is φ = 2322302400.

The previous prime is 4745004941. The next prime is 4745004961. The reversal of 4745004957 is 7594005474.

It is not a de Polignac number, because 4745004957 - 24 = 4745004941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4745004937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26215407 + ... + 26215587.

Almost surely, 24745004957 is an apocalyptic number.

It is an amenable number.

4745004957 is a deficient number, since it is larger than the sum of its proper divisors (4368346563).

4745004957 is a wasteful number, since it uses less digits than its factorization.

4745004957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 4745004957 is about 68883.9963779687. The cubic root of 4745004957 is about 1680.3982612354.

The spelling of 4745004957 in words is "four billion, seven hundred forty-five million, four thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 121 133 171 181 209 231 363 399 543 627 693 847 1089 1197 1267 1463 1629 1881 1991 2299 2541 3439 3801 4389 5973 6897 7623 10317 11403 13167 13937 16093 17919 20691 21901 24073 30951 32761 37829 41811 48279 65703 72219 98283 113487 125433 144837 153307 197109 216657 229327 264803 294849 340461 360371 416119 459921 622459 687981 794409 1081113 1248357 1379763 1867377 2063943 2383227 2522597 2912833 3243339 3745071 3964081 4357213 5602131 6847049 7567791 8738499 11892243 13071639 20541147 22703373 26215497 27748567 35676729 39214917 47929343 61623441 75317539 83245701 143788029 225952617 249737103 431364087 527222773 677857851 1581668319 4745004957