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32121828372 = 223173127118743
BaseRepresentation
bin11101111010100111…
…000011010000010100
310001220121212221201010
4131322213003100110
51011241142001442
622431230132220
72215003015254
oct357247032024
9101817787633
1032121828372
1112693a310a7
126285651070
13304bb5664a
1417aa177964
15c80053b9c
hex77a9c3414

32121828372 has 96 divisors (see below), whose sum is σ = 82226479104. Its totient is φ = 9715852800.

The previous prime is 32121828367. The next prime is 32121828373. The reversal of 32121828372 is 27382812123.

It is a self number, because there is not a number n which added to its sum of digits gives 32121828372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32121828373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1704433 + ... + 1723175.

It is an arithmetic number, because the mean of its divisors is an integer number (856525824).

Almost surely, 232121828372 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 32121828372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41113239552).

32121828372 is an abundant number, since it is smaller than the sum of its proper divisors (50104650732).

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

32121828372 is a wasteful number, since it uses less digits than its factorization.

32121828372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19069 (or 19067 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The spelling of 32121828372 in words is "thirty-two billion, one hundred twenty-one million, eight hundred twenty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 271 372 527 542 813 1054 1084 1581 1626 2108 3162 3252 4607 6324 8401 9214 13821 16802 18428 18743 25203 27642 33604 37486 50406 55284 56229 74972 100812 112458 142817 224916 285634 318631 428451 571268 581033 637262 856902 955893 1162066 1274524 1713804 1743099 1911786 2324132 3486198 3823572 5079353 6972396 9877561 10158706 15238059 19755122 20317412 29632683 30476118 39510244 59265366 60952236 86349001 118530732 157459943 172698002 259047003 314919886 345396004 472379829 518094006 629839772 944759658 1036188012 1889519316 2676819031 5353638062 8030457093 10707276124 16060914186 32121828372