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3875016132 = 2233137138873
BaseRepresentation
bin1110011011111000…
…0000110111000100
3101000001112012211000
43212332000313010
530414001004012
61440303013300
7165012044061
oct34676006704
911001465730
103875016132
111709388a79
1290189a230
13499a71170
1428a8dbc68
1517a2d7ddc
hexe6f80dc4

3875016132 has 96 divisors (see below), whose sum is σ = 10971797760. Its totient is φ = 1175489280.

The previous prime is 3875016127. The next prime is 3875016169. The reversal of 3875016132 is 2316105783.

3875016132 is a `hidden beast` number, since 38 + 7 + 5 + 0 + 1 + 613 + 2 = 666.

3875016132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80248 + ... + 119120.

It is an arithmetic number, because the mean of its divisors is an integer number (114289560).

Almost surely, 23875016132 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 3875016132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485898880).

3875016132 is an abundant number, since it is smaller than the sum of its proper divisors (7096781628).

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

3875016132 is a wasteful number, since it uses less digits than its factorization.

3875016132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38970 (or 38962 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3875016132 is about 62249.6275651509. The cubic root of 3875016132 is about 1570.6925058379.

The spelling of 3875016132 in words is "three billion, eight hundred seventy-five million, sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 71 78 108 117 142 156 213 234 284 351 426 468 639 702 852 923 1278 1404 1846 1917 2556 2769 3692 3834 5538 7668 8307 11076 16614 24921 33228 38873 49842 77746 99684 116619 155492 233238 349857 466476 505349 699714 1010698 1049571 1399428 1516047 2021396 2099142 2759983 3032094 4198284 4548141 5519966 6064188 8279949 9096282 11039932 13644423 16559898 18192564 24839847 27288846 33119796 35879779 49679694 54577692 71759558 74519541 99359388 107639337 143519116 149039082 215278674 298078164 322918011 430557348 645836022 968754033 1291672044 1937508066 3875016132