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15348048400704 = 2631740131171747
BaseRepresentation
bin1101111101010111111011…
…1110010001000101000000
32000100020222212211001200010
43133111332332101011000
54002430300342310304
652350443542424520
73142600642610025
oct337257676210500
960306885731603
1015348048400704
114988086221448
12187a67a432140
1387441268c206
143b0bc708b54c
151b93881b6789
hexdf57ef91140

15348048400704 has 112 divisors (see below), whose sum is σ = 43007857339968. Its totient is φ = 4813870030848.

The previous prime is 15348048400703. The next prime is 15348048400709. The reversal of 15348048400704 is 40700484084351.

It is a super-2 number, since 2×153480484007042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15348048400703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12512559 + ... + 13684305.

Almost surely, 215348048400704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15348048400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21503928669984).

15348048400704 is an abundant number, since it is smaller than the sum of its proper divisors (27659808939264).

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

15348048400704 is a wasteful number, since it uses less digits than its factorization.

15348048400704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175792 (or 1175782 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 15348048400704 in words is "fifteen trillion, three hundred forty-eight billion, forty-eight million, four hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 4013 8026 12039 16052 24078 32104 48156 64208 68221 96312 128416 136442 192624 204663 256832 272884 385248 409326 545768 770496 818652 1091536 1171747 1637304 2183072 2343494 3274608 3515241 4366144 4686988 6549216 7030482 9373976 13098432 14060964 18747952 19919699 28121928 37495904 39839398 56243856 59759097 74991808 79678796 112487712 119518194 159357592 224975424 239036388 318715184 478072776 637430368 956145552 1274860736 1912291104 3824582208 4702220711 9404441422 14106662133 18808882844 28213324266 37617765688 56426648532 75235531376 79937752087 112853297064 150471062752 159875504174 225706594128 239813256261 300942125504 319751008348 451413188256 479626512522 639502016696 902826376512 959253025044 1279004033392 1918506050088 2558008066784 3837012100176 5116016133568 7674024200352 15348048400704