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89870056560 = 24325124819523
BaseRepresentation
bin101001110110010101…
…1000011110001110000
322120222012100220020100
41103230223003301300
52433023213302220
6105141415112400
76331030606464
oct1235453036160
9276865326210
1089870056560
1135128338719
1215501372700
138622c2647b
1444c79544a4
15250ec5ed90
hex14ecac3c70

89870056560 has 60 divisors (see below), whose sum is σ = 301813609032. Its totient is φ = 23965348224.

The previous prime is 89870056519. The next prime is 89870056567. The reversal of 89870056560 is 6565007898.

89870056560 is a `hidden beast` number, since 8 + 9 + 8 + 70 + 0 + 5 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 89870056497 and 89870056506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89870056567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62409042 + ... + 62410481.

Almost surely, 289870056560 is an apocalyptic number.

89870056560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89870056560 is an abundant number, since it is smaller than the sum of its proper divisors (211943552472).

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

89870056560 is a wasteful number, since it uses less digits than its factorization.

89870056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124819542 (or 124819533 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 89870056560 in words is "eighty-nine billion, eight hundred seventy million, fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 124819523 249639046 374458569 499278092 624097615 748917138 998556184 1123375707 1248195230 1497834276 1872292845 1997112368 2246751414 2496390460 2995668552 3744585690 4493502828 4992780920 5616878535 5991337104 7489171380 8987005656 9985561840 11233757070 14978342760 17974011312 22467514140 29956685520 44935028280 89870056560