Search a number
-
+
21477079608 = 233172910317623
BaseRepresentation
bin10100000000001000…
…100011101000111000
32001102202220200112220
4110000020203220320
5322441113021413
613511052204040
71360136110305
oct240010435070
961382820486
1021477079608
119121284876
1241b4769620
13204370343a
14107a5400ac
1585a789223
hex500223a38

21477079608 has 128 divisors (see below), whose sum is σ = 59385830400. Its totient is φ = 6442039296.

The previous prime is 21477079597. The next prime is 21477079619. The reversal of 21477079608 is 80697077412.

It is an interprime number because it is at equal distance from previous prime (21477079597) and next prime (21477079619).

It is a super-2 number, since 2×214770796082 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1209885 + ... + 1227507.

It is an arithmetic number, because the mean of its divisors is an integer number (463951800).

Almost surely, 221477079608 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 21477079608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29692915200).

21477079608 is an abundant number, since it is smaller than the sum of its proper divisors (37908750792).

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

21477079608 is a wasteful number, since it uses less digits than its factorization.

21477079608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17781 (or 17777 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 21477079608 in words is "twenty-one billion, four hundred seventy-seven million, seventy-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 103 116 136 174 204 206 232 309 348 408 412 493 618 696 824 986 1236 1479 1751 1972 2472 2958 2987 3502 3944 5253 5916 5974 7004 8961 10506 11832 11948 14008 17623 17922 21012 23896 35246 35844 42024 50779 52869 70492 71688 101558 105738 140984 152337 203116 211476 299591 304674 406232 422952 511067 599182 609348 898773 1022134 1198364 1218696 1533201 1797546 1815169 2044268 2396728 3066402 3595092 3630338 4088536 5445507 6132804 7190184 7260676 8688139 10891014 12265608 14521352 17376278 21782028 26064417 30857873 34752556 43564056 52128834 52639901 61715746 69505112 92573619 104257668 105279802 123431492 157919703 185147238 208515336 210559604 246862984 315839406 370294476 421119208 631678812 740588952 894878317 1263357624 1789756634 2684634951 3579513268 5369269902 7159026536 10738539804 21477079608