Search a number
-
+
56291767992572 = 227191393891956901
BaseRepresentation
bin11001100110010011100101…
…10101011100000011111100
321101022102220002122112112012
430303021302311130003330
524334241020101230242
6315420025313030352
714566642326101210
oct1463116265340374
9241272802575465
1056291767992572
1116a33228565812
12639187b2553b8
1325543a2288658
14dc877111a940
1567942872d282
hex333272d5c0fc

56291767992572 has 96 divisors (see below), whose sum is σ = 119668471104000. Its totient is φ = 22632534777600.

The previous prime is 56291767992571. The next prime is 56291767992583. The reversal of 56291767992572 is 27529976719265.

It is a junction number, because it is equal to n+sod(n) for n = 56291767992493 and 56291767992502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56291767992571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27787322 + ... + 29744222.

It is an arithmetic number, because the mean of its divisors is an integer number (1246546574000).

Almost surely, 256291767992572 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 56291767992572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59834235552000).

56291767992572 is an abundant number, since it is smaller than the sum of its proper divisors (63376703111428).

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

56291767992572 is a wasteful number, since it uses less digits than its factorization.

56291767992572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957459 (or 1957457 counting only the distinct ones).

The product of its digits is 1800338400, while the sum is 77.

The spelling of 56291767992572 in words is "fifty-six trillion, two hundred ninety-one billion, seven hundred sixty-seven million, nine hundred ninety-two thousand, five hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 139 266 278 389 532 556 778 973 1556 1946 2641 2723 3892 5282 5446 7391 10564 10892 14782 18487 29564 36974 51737 54071 73948 103474 108142 206948 216284 378497 756994 1027349 1513988 1956901 2054698 3913802 4109396 7191443 7827604 13698307 14382886 27396614 28765772 37181119 54793228 74362238 148724476 260267833 272009239 520535666 544018478 761234489 1041071332 1088036956 1522468978 1904064673 3044937956 3808129346 5168175541 5328641423 7616258692 10336351082 10657282846 14463455291 20672702164 21314565692 28926910582 36177228787 57853821164 72354457574 101244187037 105811593971 144708915148 202488374074 211623187942 404976748148 423246375884 740681157797 1481362315594 2010420285449 2962724631188 4020840570898 8041681141796 14072941998143 28145883996286 56291767992572