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33160054136 = 231171107193257
BaseRepresentation
bin11110111000011111…
…100100010101111000
310011120222111021201012
4132320133210111320
51020402433213021
623122235013052
72252510544446
oct367037442570
9104528437635
1033160054136
1113076a93520
12651529a188
133185c88911
141867dd5b96
15ce128635b
hex7b87e4578

33160054136 has 128 divisors (see below), whose sum is σ = 70056783360. Its totient is φ = 14588313600.

The previous prime is 33160054117. The next prime is 33160054153. The reversal of 33160054136 is 63145006133.

It is a super-3 number, since 3×331600541363 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129027320 + ... + 129027576.

It is an arithmetic number, because the mean of its divisors is an integer number (547318620).

Almost surely, 233160054136 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 33160054136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35028391680).

33160054136 is an abundant number, since it is smaller than the sum of its proper divisors (36896729224).

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

33160054136 is a wasteful number, since it uses less digits than its factorization.

33160054136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 33160054136 in words is "thirty-three billion, one hundred sixty million, fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 71 88 107 142 193 214 257 284 386 428 514 568 772 781 856 1028 1177 1544 1562 2056 2123 2354 2827 3124 4246 4708 5654 6248 7597 8492 9416 11308 13703 15194 16984 18247 20651 22616 27406 27499 30388 36494 41302 49601 54812 54998 60776 72988 82604 83567 99202 109624 109996 145976 150733 165208 167134 198404 200717 219992 227161 301466 302489 334268 396808 401434 454322 545611 602932 604978 668536 802868 908644 1091222 1205864 1209956 1466221 1605736 1817288 1952429 2182444 2419912 2932442 3521671 3904858 4364888 5307307 5864884 7043342 7809716 10614614 11729768 14086684 15619432 16128431 21229228 21476719 28173368 32256862 38738381 42458456 42953438 58380377 64513724 77476762 85906876 116760754 129027448 154953524 171813752 233521508 309907048 376818797 467043016 753637594 1507275188 3014550376 4145006767 8290013534 16580027068 33160054136