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3680058653172 = 2233113097692469
BaseRepresentation
bin110101100011010100100…
…101101011100111110100
3111000210212121121021222000
4311203110211223213310
5440243230003400142
611454332352335300
7526606166301156
oct65432445534764
914023777537860
103680058653172
111199782197350
124b5278244530
132090497ba125
14ca189a22ad6
1565ad7cb914c
hex358d496b9f4

3680058653172 has 48 divisors (see below), whose sum is σ = 10408246699200. Its totient is φ = 1115169288480.

The previous prime is 3680058653129. The next prime is 3680058653213. The reversal of 3680058653172 is 2713568500863.

3680058653172 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 0 + 586 + 53 + 1 + 7 + 2 = 666.

It is a super-3 number, since 3×36800586531723 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548845047 + ... + 1548847422.

It is an arithmetic number, because the mean of its divisors is an integer number (216838472900).

Almost surely, 23680058653172 is an apocalyptic number.

It is an amenable number.

3680058653172 is an abundant number, since it is smaller than the sum of its proper divisors (6728188046028).

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

3680058653172 is a wasteful number, since it uses less digits than its factorization.

3680058653172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097692493 (or 3097692485 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 3680058653172 in words is "three trillion, six hundred eighty billion, fifty-eight million, six hundred fifty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3097692469 6195384938 9293077407 12390769876 18586154814 27879232221 34074617159 37172309628 55758464442 68149234318 83637696663 102223851477 111516928884 136298468636 167275393326 204447702954 306671554431 334550786652 408895405908 613343108862 920014663293 1226686217724 1840029326586 3680058653172