Search a number
-
+
56044411392 = 2931811991013
BaseRepresentation
bin110100001100100000…
…011101101000000000
312100122211110002021110
4310030200131220000
51404234332131032
641425122123320
74022555431254
oct641440355000
9170584402243
1056044411392
112184a677872
12aa411b0540
1353920b8208
1429d93c0264
1516d03517cc
hexd0c81da00

56044411392 has 160 divisors (see below), whose sum is σ = 151034083200. Its totient is φ = 18466652160.

The previous prime is 56044411349. The next prime is 56044411429. The reversal of 56044411392 is 29311444065.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56044411392.

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, 55324678 + ... + 55325690.

It is an arithmetic number, because the mean of its divisors is an integer number (943963020).

Almost surely, 256044411392 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 56044411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75517041600).

56044411392 is an abundant number, since it is smaller than the sum of its proper divisors (94989671808).

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

56044411392 is a wasteful number, since it uses less digits than its factorization.

56044411392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 56044411392 in words is "fifty-six billion, forty-four million, four hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 199 256 362 384 398 512 543 597 724 768 796 1013 1086 1194 1448 1536 1592 2026 2172 2388 2896 3039 3184 4052 4344 4776 5792 6078 6368 8104 8688 9552 11584 12156 12736 16208 17376 19104 23168 24312 25472 32416 34752 36019 38208 46336 48624 50944 64832 69504 72038 76416 92672 97248 101888 108057 129664 139008 144076 152832 183353 194496 201587 216114 259328 278016 288152 305664 366706 388992 403174 432228 518656 550059 576304 604761 733412 777984 806348 864456 1100118 1152608 1209522 1466824 1555968 1612696 1728912 2200236 2305216 2419044 2933648 3225392 3457824 4400472 4610432 4838088 5867296 6450784 6915648 8800944 9220864 9676176 11734592 12901568 13831296 17601888 18441728 19352352 23469184 25803136 27662592 35203776 36487247 38704704 46938368 51606272 55325184 70407552 72974494 77409408 93876736 103212544 109461741 140815104 145948988 154818816 218923482 281630208 291897976 309637632 437846964 583795952 875693928 1167591904 1751387856 2335183808 3502775712 4670367616 7005551424 9340735232 14011102848 18681470464 28022205696 56044411392