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216915503168 = 2671359631273
BaseRepresentation
bin1100101000000100101…
…0111110100001000000
3202201220012210021112202
43022001022332201000
512023220332100133
6243352152012332
721446240232530
oct3120112764100
9681805707482
10216915503168
1183aa2168091
12360586910a8
13175bb969450
14a6da8874c0
15599850a2e8
hex32812be840

216915503168 has 112 divisors (see below), whose sum is σ = 538754482560. Its totient is φ = 84358139904.

The previous prime is 216915503017. The next prime is 216915503171. The reversal of 216915503168 is 861305519612.

It is a tau number, because it is divible by the number of its divisors (112).

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, 27980 + ... + 659252.

It is an arithmetic number, because the mean of its divisors is an integer number (4810307880).

Almost surely, 2216915503168 is an apocalyptic number.

216915503168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216915503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269377241280).

216915503168 is an abundant number, since it is smaller than the sum of its proper divisors (321838979392).

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

216915503168 is a wasteful number, since it uses less digits than its factorization.

216915503168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631364 (or 631354 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 216915503168 in words is "two hundred sixteen billion, nine hundred fifteen million, five hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 59 64 91 104 112 118 182 208 224 236 364 413 416 448 472 728 767 826 832 944 1456 1534 1652 1888 2912 3068 3304 3776 5369 5824 6136 6608 10738 12272 13216 21476 24544 26432 42952 49088 85904 171808 343616 631273 1262546 2525092 4418911 5050184 8206549 8837822 10100368 16413098 17675644 20200736 32826196 35351288 37245107 40401472 57445843 65652392 70702576 74490214 114891686 131304784 141405152 148980428 229783372 260715749 262609568 282810304 297960856 459566744 484186391 521431498 525219136 595921712 919133488 968372782 1042862996 1191843424 1838266976 1936745564 2085725992 2383686848 3389304737 3676533952 3873491128 4171451984 6778609474 7746982256 8342903968 13557218948 15493964512 16685807936 27114437896 30987929024 54228875792 108457751584 216915503168