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2137468673304 = 233267862951349
BaseRepresentation
bin11111000110101011000…
…011111001110100011000
321120100011212102000021200
4133012223003321310120
5240010013440021204
64313534535434200
7310266315643116
oct37065303716430
97510155360250
102137468673304
1175454a384798
122a6309b25960
13126740879103
147564dc34ab6
153a901886539
hex1f1ab0f9d18

2137468673304 has 96 divisors (see below), whose sum is σ = 5876175630000. Its totient is φ = 701760381696.

The previous prime is 2137468673299. The next prime is 2137468673441. The reversal of 2137468673304 is 4033768647312.

2137468673304 is a `hidden beast` number, since 213 + 7 + 4 + 68 + 67 + 3 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41600622 + ... + 41651970.

Almost surely, 22137468673304 is an apocalyptic number.

2137468673304 is a gapful number since it is divisible by the number (24) 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 2137468673304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938087815000).

2137468673304 is an abundant number, since it is smaller than the sum of its proper divisors (3738706956696).

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

2137468673304 is a wasteful number, since it uses less digits than its factorization.

2137468673304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60057 (or 60050 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 2137468673304 in words is "two trillion, one hundred thirty-seven billion, four hundred sixty-eight million, six hundred seventy-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 8629 17258 25887 34516 51349 51774 69032 77661 102698 103548 154047 155322 205396 207096 308094 310644 410792 462141 578143 616188 621288 924282 1156286 1232376 1734429 1848564 2312572 3440383 3468858 3697128 4625144 5203287 6880766 6937716 10321149 10406574 13761532 13875432 20642298 20813148 27523064 30963447 41284596 41626296 61926894 82569192 123853788 247707576 443090521 886181042 1329271563 1772362084 2658543126 3544724168 3987814689 5317086252 7975629378 10634172504 15951258756 29687064907 31902517512 59374129814 89061194721 118748259628 178122389442 237496519256 267183584163 356244778884 534367168326 712489557768 1068734336652 2137468673304