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20239614756 = 223213121812
BaseRepresentation
bin10010110110011000…
…000000001100100100
31221020112101221220100
4102312120000030210
5312422320133011
613144205104100
71314361613124
oct226630001444
957215357810
1020239614756
11864680a149
123b0a258030
131ba722230a
14da005ac84
157d6cecd56
hex4b6600324

20239614756 has 81 divisors (see below), whose sum is σ = 51841180209. Its totient is φ = 6658048800.

The previous prime is 20239614737. The next prime is 20239614817. The reversal of 20239614756 is 65741693202.

The square root of 20239614756 is 142266.

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

20239614756 is a `hidden beast` number, since 2 + 0 + 23 + 9 + 614 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 223024356 + 20016590400 = 14934^2 + 141480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111820986 + ... + 111821166.

Almost surely, 220239614756 is an apocalyptic number.

20239614756 is the 142266-th square number.

It is an amenable number.

20239614756 is an abundant number, since it is smaller than the sum of its proper divisors (31601565453).

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

20239614756 is a wasteful number, since it uses less digits than its factorization.

20239614756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 20239614756 in words is "twenty billion, two hundred thirty-nine million, six hundred fourteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 131 181 262 362 393 524 543 724 786 1086 1179 1572 1629 2172 2358 3258 4716 6516 17161 23711 32761 34322 47422 51483 65522 68644 71133 94844 98283 102966 131044 142266 154449 196566 205932 213399 284532 294849 308898 393132 426798 589698 617796 853596 1179396 3106141 4291691 6212282 8583382 9318423 12424564 12875073 17166764 18636846 25750146 27955269 37273692 38625219 51500292 55910538 77250438 111821076 154500876 562211521 1124423042 1686634563 2248846084 3373269126 5059903689 6746538252 10119807378 20239614756