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6148711972704 = 253719481572053
BaseRepresentation
bin101100101111001101111…
…0010101111111101100000
3210202210220022100111111010
41121132123302233331200
51301220030231111304
621024402420420520
71203141546265620
oct131363362577540
923683808314433
106148711972704
111a60721680634
128337b3247740
13357a89b06a12
14173856498880
15a9e1e93e789
hex5979bcaff60

6148711972704 has 96 divisors (see below), whose sum is σ = 19416985217280. Its totient is φ = 1664313011712.

The previous prime is 6148711972693. The next prime is 6148711972721. The reversal of 6148711972704 is 4072791178416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 240773259 + ... + 240798794.

It is an arithmetic number, because the mean of its divisors is an integer number (202260262680).

Almost surely, 26148711972704 is an apocalyptic number.

It is an amenable number.

6148711972704 is an abundant number, since it is smaller than the sum of its proper divisors (13268273244576).

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

6148711972704 is a wasteful number, since it uses less digits than its factorization.

6148711972704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481572092 (or 481572084 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 6148711972704 in words is "six trillion, one hundred forty-eight billion, seven hundred eleven million, nine hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 481572053 963144106 1444716159 1926288212 2889432318 3371004371 3852576424 5778864636 6742008742 7705152848 9149869007 10113013113 11557729272 13484017484 15410305696 18299738014 20226026226 23115458544 26968034968 27449607021 36599476028 40452052452 46230917088 53936069936 54899214042 64049083049 73198952056 80904104904 107872139872 109798428084 128098166098 146397904112 161808209808 192147249147 219596856168 256196332196 292795808224 323616419616 384294498294 439193712336 512392664392 768588996588 878387424672 1024785328784 1537177993176 2049570657568 3074355986352 6148711972704