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89148804448 = 251123109110093
BaseRepresentation
bin101001100000110101…
…1101100110101100000
322112002221012111100011
41103001223230311200
52430034043220243
6104542052134304
76304122222604
oct1230153546540
9275087174304
1089148804448
11348981a32a0
121533b907394
138539685a82
144459c47504
1524bb79089d
hex14c1aecd60

89148804448 has 96 divisors (see below), whose sum is σ = 199994925312. Its totient is φ = 38720985600.

The previous prime is 89148804443. The next prime is 89148804467. The reversal of 89148804448 is 84440884198.

It is a junction number, because it is equal to n+sod(n) for n = 89148804392 and 89148804401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89148804443) 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 15 ways as a sum of consecutive naturals, for example, 8827690 + ... + 8837782.

It is an arithmetic number, because the mean of its divisors is an integer number (2083280472).

Almost surely, 289148804448 is an apocalyptic number.

89148804448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89148804448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99997462656).

89148804448 is an abundant number, since it is smaller than the sum of its proper divisors (110846120864).

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

89148804448 is a wasteful number, since it uses less digits than its factorization.

89148804448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 58.

The spelling of 89148804448 in words is "eighty-nine billion, one hundred forty-eight million, eight hundred four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 1091 2024 2182 4048 4364 8096 8728 10093 12001 17456 20186 24002 25093 34912 40372 48004 50186 80744 96008 100372 111023 161488 192016 200744 222046 232139 276023 322976 384032 401488 444092 464278 552046 802976 888184 928556 1104092 1776368 1857112 2208184 2553529 3552736 3714224 4416368 5107058 7428448 8832736 10214116 11011463 20428232 22022926 40856464 44045852 81712928 88091704 121126093 176183408 242252186 253263649 352366816 484504372 506527298 969008744 1013054596 1938017488 2026109192 2785900139 3876034976 4052218384 5571800278 8104436768 11143600556 22287201112 44574402224 89148804448