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20132367072 = 2539717312497
BaseRepresentation
bin10010101111111110…
…111000101011100000
31220222001121012201220
4102233332320223200
5312212341221242
613125414255040
71311620203506
oct225776705340
956861535656
1020132367072
1185a12183a4
123a9a357480
131b8ac4194c
14d8db00676
157cc6b5bec
hex4affb8ae0

20132367072 has 96 divisors (see below), whose sum is σ = 53705205792. Its totient is φ = 6602686464.

The previous prime is 20132367043. The next prime is 20132367083. The reversal of 20132367072 is 27076323102.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1604728 + ... + 1617224.

It is an arithmetic number, because the mean of its divisors is an integer number (559429227).

Almost surely, 220132367072 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 20132367072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26852602896).

20132367072 is an abundant number, since it is smaller than the sum of its proper divisors (33572838720).

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

20132367072 is a wasteful number, since it uses less digits than its factorization.

20132367072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12780 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 20132367072 in words is "twenty billion, one hundred thirty-two million, three hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 173 194 291 346 388 519 582 692 776 1038 1164 1384 1552 2076 2328 2768 3104 4152 4656 5536 8304 9312 12497 16608 16781 24994 33562 37491 49988 50343 67124 74982 99976 100686 134248 149964 199952 201372 268496 299928 399904 402744 536992 599856 805488 1199712 1212209 1610976 2161981 2424418 3636627 4323962 4848836 6485943 7273254 8647924 9697672 12971886 14546508 17295848 19395344 25943772 29093016 34591696 38790688 51887544 58186032 69183392 103775088 116372064 207550176 209712157 419424314 629136471 838848628 1258272942 1677697256 2516545884 3355394512 5033091768 6710789024 10066183536 20132367072