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88084044040 = 23589151163859
BaseRepresentation
bin101001000001000110…
…1111101100100001000
322102100201200001122111
41102002031331210020
52420344003402130
6104244254432104
76235543010056
oct1220215754410
9272321601574
1088084044040
11343a1168013
12150a3202634
1383c9bc2c25
14439867d1d6
15245806b02a
hex148237d908

88084044040 has 64 divisors (see below), whose sum is σ = 201744432000. Its totient is φ = 34606809600.

The previous prime is 88084044029. The next prime is 88084044053. The reversal of 88084044040 is 4044048088.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 88084043984 and 88084044002.

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, 455631 + ... + 619489.

It is an arithmetic number, because the mean of its divisors is an integer number (3152256750).

Almost surely, 288084044040 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 88084044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100872216000).

88084044040 is an abundant number, since it is smaller than the sum of its proper divisors (113660387960).

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

88084044040 is a wasteful number, since it uses less digits than its factorization.

88084044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164110 (or 164106 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 88084044040 in words is "eighty-eight billion, eighty-four million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 151 178 302 356 445 604 712 755 890 1208 1510 1780 3020 3560 6040 13439 26878 53756 67195 107512 134390 163859 268780 327718 537560 655436 819295 1310872 1638590 3277180 6554360 14583451 24742709 29166902 49485418 58333804 72917255 98970836 116667608 123713545 145834510 197941672 247427090 291669020 494854180 583338040 989708360 2202101101 4404202202 8808404404 11010505505 17616808808 22021011010 44042022020 88084044040