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5004785892656 = 24111913713978593
BaseRepresentation
bin100100011010100010001…
…1111000011110100110000
3122201110020010121122220202
41020311010133003310300
51123444300142031111
614351100014454332
71024404155115014
oct110650437036460
918643203548822
105004785892656
11165a577186550
12689b648043a8
132a3c45769604
14134339232544
158a2bc983b3b
hex48d447c3d30

5004785892656 has 160 divisors (see below), whose sum is σ = 11297164435200. Its totient is φ = 2124021104640.

The previous prime is 5004785892647. The next prime is 5004785892677. The reversal of 5004785892656 is 6562985874005.

It is a junction number, because it is equal to n+sod(n) for n = 5004785892592 and 5004785892601.

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, 63640496 + ... + 63719088.

It is an arithmetic number, because the mean of its divisors is an integer number (70607277720).

Almost surely, 25004785892656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5004785892656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648582217600).

5004785892656 is an abundant number, since it is smaller than the sum of its proper divisors (6292378542544).

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

5004785892656 is a wasteful number, since it uses less digits than its factorization.

5004785892656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78907 (or 78901 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 65.

The spelling of 5004785892656 in words is "five trillion, four billion, seven hundred eighty-five million, eight hundred ninety-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 137 139 152 176 209 274 278 304 418 548 556 836 1096 1112 1507 1529 1672 2192 2224 2603 2641 3014 3058 3344 5206 5282 6028 6116 10412 10564 12056 12232 19043 20824 21128 24112 24464 28633 29051 38086 41648 42256 57266 58102 76172 78593 114532 116204 152344 157186 209473 229064 232408 304688 314372 361817 418946 458128 464816 628744 723634 837892 864523 1257488 1447268 1493267 1675784 1729046 2894536 2986534 3351568 3458092 3979987 5789072 5973068 6916184 7959974 10767241 10924427 11946136 13832368 15919948 16425937 21534482 21848854 23892272 31839896 32851874 43068964 43697708 63679792 65703748 86137928 87395416 118439651 120168697 131407496 172275856 174790832 204577579 207564113 236879302 240337394 262814992 409155158 415128226 473758604 480674788 818310316 830256452 947517208 961349576 1496646499 1636620632 1660512904 1895034416 1922699152 2250353369 2283205243 2993292998 3273241264 3321025808 4500706738 4566410486 5986585996 9001413476 9132820972 11973171992 16463111489 18002826952 18265641944 23946343984 28436283481 32926222978 36005653904 36531283888 56872566962 65852445956 113745133924 131704891912 227490267848 263409783824 312799118291 454980535696 625598236582 1251196473164 2502392946328 5004785892656