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4375311968052 = 2232317461831661
BaseRepresentation
bin111111101010110100111…
…010100110011100110100
3120111021110000101002211100
4333222310322212130310
51033141114330434202
613145553544010100
7631051211046444
oct77526472463464
916437400332740
104375311968052
1114376175a6183
125a7b6b160930
1325978972b93c
14111aa2766124
1578c2a2a641c
hex3fab4ea6734

4375311968052 has 72 divisors (see below), whose sum is σ = 11118785349672. Its totient is φ = 1450681171200.

The previous prime is 4375311968011. The next prime is 4375311968129. The reversal of 4375311968052 is 2508691135734.

It is a happy number.

4375311968052 is a `hidden beast` number, since 4 + 37 + 531 + 19 + 68 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14214839076 + 4361097128976 = 119226^2 + 2088324^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4375311968052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4845102 + ... + 5676762.

It is an arithmetic number, because the mean of its divisors is an integer number (154427574301).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4375311968052 = 8750623936104, but 3⋅4375311968052 = 13125935904156 is not.

Almost surely, 24375311968052 is an apocalyptic number.

It is an amenable number.

4375311968052 is an abundant number, since it is smaller than the sum of its proper divisors (6743473381620).

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

4375311968052 is a wasteful number, since it uses less digits than its factorization.

4375311968052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832449 (or 832444 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4375311968052 in words is "four trillion, three hundred seventy-five billion, three hundred eleven million, nine hundred sixty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 317 461 634 922 951 1268 1383 1844 1902 2766 2853 3804 4149 5532 5706 8298 11412 16596 146137 292274 438411 584548 831661 876822 1315233 1663322 1753644 2494983 2630466 3326644 4989966 5260932 7484949 9979932 14969898 29939796 263636537 383395721 527273074 766791442 790909611 1054546148 1150187163 1533582884 1581819222 2300374326 2372728833 3163638444 3450561489 4600748652 4745457666 6901122978 9490915332 13802245956 121536443557 243072887114 364609330671 486145774228 729218661342 1093827992013 1458437322684 2187655984026 4375311968052