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56303298972 = 2232292812683
BaseRepresentation
bin110100011011111100…
…000010100110011100
312101022212120221021100
4310123330002212130
51410302121031342
641510531033100
74032151100454
oct643374024634
9171285527240
1056303298972
1121972820948
12aab3a3b790
13540392002b
142a21930d64
1516e7e3de4c
hexd1bf0299c

56303298972 has 108 divisors (see below), whose sum is σ = 147972038760. Its totient is φ = 18029679360.

The previous prime is 56303298967. The next prime is 56303299007. The reversal of 56303298972 is 27989230365.

It is a happy number.

56303298972 is a `hidden beast` number, since 563 + 0 + 3 + 2 + 9 + 8 + 9 + 72 = 666.

56303298972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×563032989722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82434943 + ... + 82435625.

It is an arithmetic number, because the mean of its divisors is an integer number (1370111470).

Almost surely, 256303298972 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 56303298972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73986019380).

56303298972 is an abundant number, since it is smaller than the sum of its proper divisors (91668739788).

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

56303298972 is a wasteful number, since it uses less digits than its factorization.

56303298972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 56303298972 in words is "fifty-six billion, three hundred three million, two hundred ninety-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 281 348 522 562 683 843 1044 1124 1366 1686 2049 2529 2732 3372 4098 5058 6147 8149 8196 10116 12294 16298 19807 24447 24588 32596 39614 48894 59421 73341 78961 79228 97788 118842 146682 157922 178263 191923 236883 237684 293364 315844 356526 383846 473766 575769 710649 713052 767692 947532 1151538 1421298 1727307 2289869 2303076 2842596 3454614 4579738 5565767 6869607 6909228 9159476 11131534 13739214 16697301 20608821 22263068 27478428 33394602 41217642 50091903 53930363 66789204 82435284 100183806 107860726 161791089 200367612 215721452 323582178 485373267 647164356 970746534 1563980527 1941493068 3127961054 4691941581 6255922108 9383883162 14075824743 18767766324 28151649486 56303298972