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21711374712 = 2332798634423
BaseRepresentation
bin10100001110000110…
…010100100101111000
32002001002210010000100
4110032012110211320
5323431102442322
613550222035400
71366012432356
oct241606244570
962032703010
1021711374712
119231561195
12425b118b60
1320801076b1
14109d6cc7d6
15871119dac
hex50e194978

21711374712 has 96 divisors (see below), whose sum is σ = 59628441600. Its totient is φ = 7135622208.

The previous prime is 21711374701. The next prime is 21711374717. The reversal of 21711374712 is 21747311712.

21711374712 is a `hidden beast` number, since 2 + 171 + 13 + 7 + 471 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21711374717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4906533 + ... + 4910955.

It is an arithmetic number, because the mean of its divisors is an integer number (621129600).

Almost surely, 221711374712 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 21711374712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29814220800).

21711374712 is an abundant number, since it is smaller than the sum of its proper divisors (37917066888).

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

21711374712 is a wasteful number, since it uses less digits than its factorization.

21711374712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5370 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

Subtracting 21711374712 from its reverse (21747311712), we obtain a cube (35937000 = 3303).

The spelling of 21711374712 in words is "twenty-one billion, seven hundred eleven million, three hundred seventy-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 863 948 1422 1726 1896 2589 2844 3452 4423 5178 5688 6904 7767 8846 10356 13269 15534 17692 20712 26538 31068 35384 39807 53076 62136 68177 79614 106152 136354 159228 204531 272708 318456 349417 409062 545416 613593 698834 818124 1048251 1227186 1397668 1636248 2096502 2454372 2795336 3144753 3817049 4193004 4908744 6289506 7634098 8386008 11451147 12579012 15268196 22902294 25158024 30536392 34353441 45804588 68706882 91609176 137413764 274827528 301546871 603093742 904640613 1206187484 1809281226 2412374968 2713921839 3618562452 5427843678 7237124904 10855687356 21711374712