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5076120456456 = 2337173157333971
BaseRepresentation
bin100100111011110000001…
…0110110100110100001000
3122222021100120011222011020
41021313200112310310020
51131131343314101311
614443534302032440
71032510665652150
oct111674026646410
918867316158136
105076120456456
111687852733105
1269b952578720
132aa8a353128a
141379851a5760
158c095310c06
hex49de05b4d08

5076120456456 has 128 divisors (see below), whose sum is σ = 15851696578560. Its totient is φ = 1320974668800.

The previous prime is 5076120456443. The next prime is 5076120456479. The reversal of 5076120456456 is 6546540216705.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 5076120456399 and 5076120456408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28578450 + ... + 28755521.

It is an arithmetic number, because the mean of its divisors is an integer number (123841379520).

Almost surely, 25076120456456 is an apocalyptic number.

5076120456456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5076120456456 is an abundant number, since it is smaller than the sum of its proper divisors (10775576122104).

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

5076120456456 is a wasteful number, since it uses less digits than its factorization.

5076120456456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57334035 (or 57334031 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 5076120456456 in words is "five trillion, seventy-six billion, one hundred twenty million, four hundred fifty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 31 34 42 51 56 62 68 84 93 102 119 124 136 168 186 204 217 238 248 357 372 408 434 476 527 651 714 744 868 952 1054 1302 1428 1581 1736 2108 2604 2856 3162 3689 4216 5208 6324 7378 11067 12648 14756 22134 29512 44268 88536 57333971 114667942 172001913 229335884 344003826 401337797 458671768 688007652 802675594 974677507 1204013391 1376015304 1605351188 1777353101 1949355014 2408026782 2924032521 3210702376 3554706202 3898710028 4816053564 5332059303 5848065042 6822742549 7109412404 7797420056 9632107128 10664118606 11696130084 12441471707 13645485098 14218824808 20468227647 21328237212 23392260168 24882943414 27290970196 30215002717 37324415121 40936455294 42656474424 49765886828 54581940392 60430005434 74648830242 81872910588 90645008151 99531773656 120860010868 149297660484 163745821176 181290016302 211505019019 241720021736 298595320968 362580032604 423010038038 634515057057 725160065208 846020076076 1269030114114 1692040152152 2538060228228 5076120456456