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56065307364 = 2232115323911177
BaseRepresentation
bin110100001101110000…
…001011001011100100
312100201021202201011100
4310031300023023210
51404310204313424
641431150040100
74023231151413
oct641560131344
9170637681140
1056065307364
112186044a270
12aa481a9030
1353965233b1
1429dc09d47a
1516d20ccdc9
hexd0dc0b2e4

56065307364 has 144 divisors (see below), whose sum is σ = 158194632960. Its totient is φ = 16597701120.

The previous prime is 56065307341. The next prime is 56065307371. The reversal of 56065307364 is 46370356065.

56065307364 is a `hidden beast` number, since 5 + 606 + 5 + 3 + 0 + 7 + 36 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5010544 + ... + 5021720.

It is an arithmetic number, because the mean of its divisors is an integer number (1098573840).

Almost surely, 256065307364 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 56065307364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79097316480).

56065307364 is an abundant number, since it is smaller than the sum of its proper divisors (102129325596).

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

56065307364 is a wasteful number, since it uses less digits than its factorization.

56065307364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11490 (or 11485 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 56065307364 in words is "fifty-six billion, sixty-five million, three hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 239 318 396 477 478 583 636 717 954 956 1166 1434 1749 1908 2151 2332 2629 2868 3498 4302 5247 5258 6996 7887 8604 10494 10516 11177 12667 15774 20988 22354 23661 25334 31548 33531 38001 44708 47322 50668 67062 76002 94644 100593 114003 122947 134124 139337 152004 201186 228006 245894 278674 368841 402372 418011 456012 491788 557348 592381 737682 836022 1106523 1184762 1254033 1475364 1672044 1777143 2213046 2369524 2508066 2671303 3554286 4426092 5016132 5331429 5342606 6516191 7108572 8013909 10662858 10685212 13032382 16027818 19548573 21325716 24041727 26064764 29384333 32055636 39097146 48083454 58645719 58768666 78194292 88152999 96166908 117291438 117537332 141579059 176305998 234582876 264458997 283158118 352611996 424737177 528917994 566316236 849474354 1057835988 1274211531 1557369649 1698948708 2548423062 3114739298 4672108947 5096846124 6229478596 9344217894 14016326841 18688435788 28032653682 56065307364