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20397525715044 = 223483230232
BaseRepresentation
bin1001010001101001010110…
…10001100100100001100100
32200012222120122020011210000
410220310223101210201210
510133143113040340134
6111214254405501300
74203446462605062
oct450645321444144
980188518204700
1020397525715044
1165545a655a535
122355216111830
13b4c62b12742a
14507361985032
152558be432e99
hex128d2b464864

20397525715044 has 135 divisors (see below), whose sum is σ = 53991209561443. Its totient is φ = 6715035414288.

The previous prime is 20397525715033. The next prime is 20397525715079. The reversal of 20397525715044 is 44051752579302.

The square root of 20397525715044 is 4516362.

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

20397525715044 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 7 + 525 + 71 + 5 + 0 + 44 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6747443317 + ... + 6747446339.

Almost surely, 220397525715044 is an apocalyptic number.

20397525715044 is the 4516362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20397525715044

20397525715044 is an abundant number, since it is smaller than the sum of its proper divisors (33593683846399).

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

20397525715044 is an frugal number, since it uses more digits than its factorization.

20397525715044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 20397525715044 in words is "twenty trillion, three hundred ninety-seven billion, five hundred twenty-five million, seven hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 996 1494 2241 2988 3023 4482 6046 6723 6889 8964 9069 12092 13446 13778 18138 20667 26892 27207 27556 36276 41334 54414 62001 81621 82668 108828 124002 163242 186003 244863 248004 250909 326484 372006 489726 501818 558009 744012 752727 979452 1003636 1116018 1505454 2232036 2258181 3010908 4516362 6774543 9032724 9138529 13549086 18277058 20323629 20825447 27098172 27415587 36554116 40647258 41650894 54831174 62476341 81294516 82246761 83301788 109662348 124952682 164493522 187429023 246740283 249905364 328987044 374858046 493480566 562287069 740220849 749716092 758497907 986961132 1124574138 1480441698 1516995814 1686861207 2249148276 2275493721 2960883396 3033991628 3373722414 4550987442 6747444828 6826481163 9101974884 13652962326 20479443489 27305924652 40958886978 61438330467 62955326281 81917773956 122876660934 125910652562 188865978843 245753321868 251821305124 377731957686 566597936529 755463915372 1133195873058 1699793809587 2266391746116 3399587619174 5099381428761 6799175238348 10198762857522 20397525715044