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32134542132 = 223711149233407
BaseRepresentation
bin11101111011010111…
…100011001100110100
310001221111210212201010
4131323113203030310
51011302420322012
622432402432220
72215216046520
oct357327431464
9101844725633
1032134542132
11126a0125140
126289962670
133051688494
1417abb26d80
15c81215c3c
hex77b5e3334

32134542132 has 96 divisors (see below), whose sum is σ = 94110105600. Its totient is φ = 8290581120.

The previous prime is 32134542073. The next prime is 32134542137. The reversal of 32134542132 is 23124543123.

It is a self number, because there is not a number n which added to its sum of digits gives 32134542132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32134542137) 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, 20973 + ... + 254379.

It is an arithmetic number, because the mean of its divisors is an integer number (980313600).

Almost surely, 232134542132 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 32134542132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47055052800).

32134542132 is an abundant number, since it is smaller than the sum of its proper divisors (61975563468).

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

32134542132 is a wasteful number, since it uses less digits than its factorization.

32134542132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233581 (or 233579 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Subtracting from 32134542132 its reverse (23124543123), we obtain a palindrome (9009999009).

The spelling of 32134542132 in words is "thirty-two billion, one hundred thirty-four million, five hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 149 154 231 298 308 447 462 596 894 924 1043 1639 1788 2086 3129 3278 4172 4917 6258 6556 9834 11473 12516 19668 22946 34419 45892 68838 137676 233407 466814 700221 933628 1400442 1633849 2567477 2800884 3267698 4901547 5134954 6535396 7702431 9803094 10269908 15404862 17972339 19606188 30809724 34777643 35944678 53917017 69555286 71889356 104332929 107834034 139110572 208665858 215668068 243443501 382554073 417331716 486887002 730330503 765108146 973774004 1147662219 1460661006 1530216292 2295324438 2677878511 2921322012 4590648876 5355757022 8033635533 10711514044 16067271066 32134542132