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30755537232 = 24373714931657
BaseRepresentation
bin11100101001001011…
…000100000101010000
32221101101222011121120
4130221023010011100
51000441404142412
622043501522240
72136102516210
oct345113040520
987341864546
1030755537232
1112052776372
125b63b73380
132b91a7b054
1416ba91c240
15c0011bb8c
hex7292c4150

30755537232 has 160 divisors (see below), whose sum is σ = 93374952192. Its totient is φ = 8538918912.

The previous prime is 30755537209. The next prime is 30755537237. The reversal of 30755537232 is 23273555703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30755537237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18560148 + ... + 18561804.

Almost surely, 230755537232 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 30755537232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46687476096).

30755537232 is an abundant number, since it is smaller than the sum of its proper divisors (62619414960).

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

30755537232 is a wasteful number, since it uses less digits than its factorization.

30755537232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 42.

The spelling of 30755537232 in words is "thirty billion, seven hundred fifty-five million, five hundred thirty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1493 1554 1657 1776 2072 2986 3108 3314 4144 4479 4971 5972 6216 6628 8958 9942 10451 11599 11944 12432 13256 17916 19884 20902 23198 23888 26512 31353 34797 35832 39768 41804 46396 55241 61309 62706 69594 71664 79536 83608 92792 110482 122618 125412 139188 165723 167216 183927 185584 220964 245236 250824 278376 331446 367854 386687 429163 441928 490472 501648 556752 662892 735708 773374 858326 883856 980944 1160061 1287489 1325784 1471416 1546748 1716652 2320122 2473901 2574978 2651568 2942832 3093496 3433304 4640244 4947802 5149956 6186992 6866608 7421703 9280488 9895604 10299912 14843406 17317307 18560976 19791208 20599824 29686812 34634614 39582416 51951921 59373624 69269228 91534337 103903842 118747248 138538456 183068674 207807684 274603011 277076912 366137348 415615368 549206022 640740359 732274696 831230736 1098412044 1281480718 1464549392 1922221077 2196824088 2562961436 3844442154 4393648176 5125922872 7688884308 10251845744 15377768616 30755537232