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88920448032 = 2531371250359
BaseRepresentation
bin101001011010000010…
…0100101110000100000
322111112000111210020010
41102310010211300200
52424102113314112
6104503253444520
76265350223503
oct1226404456040
9274460453203
1088920448032
1134790302789
1215297340740
138501280930
1444377a313a
1524a66d463c
hex14b4125c20

88920448032 has 48 divisors (see below), whose sum is σ = 251371270080. Its totient is φ = 27360137472.

The previous prime is 88920448027. The next prime is 88920448033. The reversal of 88920448032 is 23084402988.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×889204480322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (88920448033) 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 7 ways as a sum of consecutive naturals, for example, 35623932 + ... + 35626427.

It is an arithmetic number, because the mean of its divisors is an integer number (5236901460).

Almost surely, 288920448032 is an apocalyptic number.

It is an amenable number.

88920448032 is an abundant number, since it is smaller than the sum of its proper divisors (162450822048).

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

88920448032 is a wasteful number, since it uses less digits than its factorization.

88920448032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71250385 (or 71250377 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 88920448032 in words is "eighty-eight billion, nine hundred twenty million, four hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 71250359 142500718 213751077 285001436 427502154 570002872 855004308 926254667 1140005744 1710008616 1852509334 2280011488 2778764001 3420017232 3705018668 5557528002 6840034464 7410037336 11115056004 14820074672 22230112008 29640149344 44460224016 88920448032