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23162404864 = 214292412
BaseRepresentation
bin10101100100100101…
…100100000000000000
32012210020011002011211
4111210211210000000
5334414033423424
614350214415504
71446662123104
oct254445440000
965706132154
1023162404864
119906634665
1245a5061594
132251912411
14119a2c5904
159086deb94
hex564964000

23162404864 has 135 divisors (see below), whose sum is σ = 49174518211. Its totient is φ = 10909122560.

The previous prime is 23162404849. The next prime is 23162404883. The reversal of 23162404864 is 46840426132.

The square root of 23162404864 is 152192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6116491264 + 17045913600 = 78208^2 + 130560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 564936684 + ... + 564936724.

Almost surely, 223162404864 is an apocalyptic number.

23162404864 is the 152192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23162404864

23162404864 is an abundant number, since it is smaller than the sum of its proper divisors (26012113347).

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

23162404864 is an frugal number, since it uses more digits than its factorization.

23162404864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 23162404864 in words is "twenty-three billion, one hundred sixty-two million, four hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 256 328 464 512 656 841 928 1024 1189 1312 1681 1682 1856 2048 2378 2624 3362 3364 3712 4096 4756 5248 6724 6728 7424 8192 9512 10496 13448 13456 14848 16384 19024 20992 26896 26912 29696 34481 38048 41984 48749 53792 53824 59392 68962 76096 83968 97498 107584 107648 118784 137924 152192 167936 194996 215168 215296 237568 275848 304384 335872 389992 430336 430592 475136 551696 608768 671744 779984 860672 861184 1103392 1217536 1413721 1559968 1721344 1722368 2206784 2435072 2827442 3119936 3442688 3444736 4413568 4870144 5654884 6239872 6885376 6889472 8827136 9740288 11309768 12479744 13770752 13778944 17654272 19480576 22619536 24959488 27541504 35308544 45239072 49918976 70617088 90478144 99837952 141234176 180956288 199675904 282468352 361912576 399351808 564936704 723825152 798703616 1447650304 2895300608 5790601216 11581202432 23162404864