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133531365101436 = 22332942634535473
BaseRepresentation
bin11110010111001000110001…
…100101010100111101111100
3122111210110210102110111222000
4132113020301211110331330
5120000234213431221221
61151555243503422300
740061215464616521
oct3627106145247574
9574713712414860
10133531365101436
1139602374498335
1212b87333bb4990
135967c52377b73
1424d8d49b4d148
1510686cd2e8e26
hex797231954f7c

133531365101436 has 48 divisors (see below), whose sum is σ = 358130097981600. Its totient is φ = 42975611755776.

The previous prime is 133531365101419. The next prime is 133531365101471. The reversal of 133531365101436 is 634101563135331.

133531365101436 is a `hidden beast` number, since 1 + 3 + 3 + 53 + 1 + 3 + 65 + 101 + 436 = 666.

It is a super-3 number, since 3×1335313651014363 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133531365101391 and 133531365101400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21317264605 + ... + 21317270868.

It is an arithmetic number, because the mean of its divisors is an integer number (7461043707950).

Almost surely, 2133531365101436 is an apocalyptic number.

It is an amenable number.

133531365101436 is an abundant number, since it is smaller than the sum of its proper divisors (224598732880164).

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

133531365101436 is a wasteful number, since it uses less digits than its factorization.

133531365101436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42634535515 (or 42634535507 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 133531365101436 in words is "one hundred thirty-three trillion, five hundred thirty-one billion, three hundred sixty-five million, one hundred one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 42634535473 85269070946 127903606419 170538141892 255807212838 383710819257 511614425676 767421638514 1151132457771 1236401528717 1534843277028 2302264915542 2472803057434 3709204586151 4604529831084 4945606114868 7418409172302 11127613758453 14836818344604 22255227516906 33382841275359 44510455033812 66765682550718 133531365101436