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21115564002 = 2331349161261
BaseRepresentation
bin10011101010100101…
…011110111111100010
32000111120122210101000
4103222211132333202
5321221041022002
613411135452430
71345156222041
oct235245367742
960446583330
1021115564002
118a56204845
124113687116
131cb6847890
141044516558
15838b7861c
hex4ea95efe2

21115564002 has 64 divisors (see below), whose sum is σ = 50636718720. Its totient is φ = 6483758400.

The previous prime is 21115563991. The next prime is 21115564009. The reversal of 21115564002 is 20046551112.

21115564002 is a `hidden beast` number, since 2 + 1 + 1 + 15 + 5 + 640 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21115564009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314052 + ... + 375312.

It is an arithmetic number, because the mean of its divisors is an integer number (791198730).

Almost surely, 221115564002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21115564002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318359360).

21115564002 is an abundant number, since it is smaller than the sum of its proper divisors (29521154718).

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

21115564002 is a wasteful number, since it uses less digits than its factorization.

21115564002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61776 (or 61770 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 21115564002 in words is "twenty-one billion, one hundred fifteen million, five hundred sixty-four thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 491 702 982 1473 2946 4419 6383 8838 12766 13257 19149 26514 38298 57447 61261 114894 122522 172341 183783 344682 367566 551349 796393 1102698 1592786 1654047 2389179 3308094 4778358 7167537 14335074 21502611 30079151 43005222 60158302 90237453 180474906 270712359 391028963 541424718 782057926 812137077 1173086889 1624274154 2346173778 3519260667 7038521334 10557782001 21115564002