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21003968475 = 32527192924203
BaseRepresentation
bin10011100011111011…
…110001111111011011
32000012210200011002100
4103203323301333123
5321004003442400
613352111534443
71342332533460
oct234373617733
960183604070
1021003968475
1189a9213436
1240a222a423
131c996a4219
141033787667
1582de83100
hex4e3ef1fdb

21003968475 has 144 divisors (see below), whose sum is σ = 46820217600. Its totient is φ = 8782421760.

The previous prime is 21003968467. The next prime is 21003968593. The reversal of 21003968475 is 57486930012.

21003968475 is a `hidden beast` number, since 210 + 0 + 396 + 8 + 47 + 5 = 666.

It is not a de Polignac number, because 21003968475 - 23 = 21003968467 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 21003968475.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 855724 + ... + 879926.

It is an arithmetic number, because the mean of its divisors is an integer number (325140400).

It is a 1-persistent number, because it is pandigital, but 2⋅21003968475 = 42007936950 is not.

Almost surely, 221003968475 is an apocalyptic number.

21003968475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21003968475 is an abundant number, since it is smaller than the sum of its proper divisors (25816249125).

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

21003968475 is a wasteful number, since it uses less digits than its factorization.

21003968475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24274 (or 24266 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21003968475 in words is "twenty-one billion, three million, nine hundred sixty-eight thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 29 35 45 57 63 75 87 95 105 133 145 171 175 203 225 261 285 315 399 435 475 525 551 609 665 725 855 1015 1197 1305 1425 1575 1653 1827 1995 2175 2755 3045 3325 3857 4275 4959 5075 5985 6525 8265 9135 9975 11571 13775 15225 19285 24203 24795 29925 34713 41325 45675 57855 72609 96425 121015 123975 169421 173565 217827 289275 363045 459857 508263 605075 701887 847105 867825 1089135 1379571 1524789 1815225 2105661 2299285 2541315 3218999 3509435 4138713 4235525 4913209 5445675 6316983 6897855 7623945 9656997 10528305 11496425 12706575 13335853 14739627 16094995 17547175 20693565 24566045 28970991 31584915 34489275 38119725 40007559 44218881 48284985 52641525 66679265 73698135 80474975 93350971 103467825 120022677 122830225 144854955 157924575 200037795 221094405 241424925 280052913 333396325 368490675 466754855 600113385 724274775 840158739 1000188975 1105472025 1400264565 2333774275 3000566925 4200793695 7001322825 21003968475