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135672666072 = 23353173616537
BaseRepresentation
bin111111001011010111…
…0001001011111011000
3110222012021001112120020
41332112232021133120
54210324200303242
6142154400030440
712542044430256
oct1762656113730
9428167045506
10135672666072
11525a1757109
1222364602420
13ca421c2188
1467d0a2b5d6
1537e0d8d6ec
hex1f96b897d8

135672666072 has 64 divisors (see below), whose sum is σ = 347579462880. Its totient is φ = 44114383872.

The previous prime is 135672666049. The next prime is 135672666089. The reversal of 135672666072 is 270666276531.

135672666072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88213 + ... + 528324.

Almost surely, 2135672666072 is an apocalyptic number.

135672666072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135672666072 is an abundant number, since it is smaller than the sum of its proper divisors (211906796808).

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

135672666072 is a wasteful number, since it uses less digits than its factorization.

135672666072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616772 (or 616768 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 135672666072 in words is "one hundred thirty-five billion, six hundred seventy-two million, six hundred sixty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 173 212 318 346 424 519 636 692 1038 1272 1384 2076 4152 9169 18338 27507 36676 55014 73352 110028 220056 616537 1233074 1849611 2466148 3699222 4932296 7398444 14796888 32676461 65352922 98029383 106660901 130705844 196058766 213321802 261411688 319982703 392117532 426643604 639965406 784235064 853287208 1279930812 2559861624 5653027753 11306055506 16959083259 22612111012 33918166518 45224222024 67836333036 135672666072