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1138293537528 = 233717675948689
BaseRepresentation
bin10000100100000111100…
…101001111101011111000
311000211010122010000210110
4100210013211033223320
5122122211121200103
62230531432544320
7145144655266050
oct20440745175370
94024118100713
101138293537528
113a9825032574
121647382520a0
138345745a914
143d14518a560
151e922759403
hex1090794faf8

1138293537528 has 128 divisors (see below), whose sum is σ = 3494974348800. Its totient is φ = 301527097344.

The previous prime is 1138293537523. The next prime is 1138293537551. The reversal of 1138293537528 is 8257353928311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138293537523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2782993 + ... + 3165696.

It is an arithmetic number, because the mean of its divisors is an integer number (27304487100).

Almost surely, 21138293537528 is an apocalyptic number.

It is an amenable number.

1138293537528 is an abundant number, since it is smaller than the sum of its proper divisors (2356680811272).

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

1138293537528 is a wasteful number, since it uses less digits than its factorization.

1138293537528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948789 (or 5948785 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 1138293537528 in words is "one trillion, one hundred thirty-eight billion, two hundred ninety-three million, five hundred thirty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 67 68 84 102 119 134 136 168 201 204 238 268 357 402 408 469 476 536 714 804 938 952 1139 1407 1428 1608 1876 2278 2814 2856 3417 3752 4556 5628 6834 7973 9112 11256 13668 15946 23919 27336 31892 47838 63784 95676 191352 5948689 11897378 17846067 23794756 35692134 41640823 47589512 71384268 83281646 101127713 124922469 142768536 166563292 202255426 249844938 303383139 333126584 398562163 404510852 499689876 606766278 707893991 797124326 809021704 999379752 1195686489 1213532556 1415787982 1594248652 2123681973 2391372978 2427065112 2789935141 2831575964 3188497304 4247363946 4782745956 5579870282 5663151928 6775556771 8369805423 8494727892 9565491912 11159740564 13551113542 16739610846 16989455784 20326670313 22319481128 27102227084 33479221692 40653340626 47428897397 54204454168 66958443384 81306681252 94857794794 142286692191 162613362504 189715589588 284573384382 379431179176 569146768764 1138293537528