Search a number
-
+
100472352676400 = 2452779993220309
BaseRepresentation
bin10110110110000100001010…
…111001000001101000110000
3111011202001201000012200110002
4112312010022321001220300
5101132114334241121100
6553404210035525132
730106613363506625
oct2666041271015060
9434661630180402
10100472352676400
112a0170a3860201
12b32826b7597a8
13440a66b458433
141ab4c6024c34c
15b937b31032d5
hex5b610ae41a30

100472352676400 has 60 divisors (see below), whose sum is σ = 241387996980000. Its totient is φ = 40188413341440.

The previous prime is 100472352676363. The next prime is 100472352676441. The reversal of 100472352676400 is 4676253274001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29589446 + ... + 32809754.

It is an arithmetic number, because the mean of its divisors is an integer number (4023133283000).

Almost surely, 2100472352676400 is an apocalyptic number.

100472352676400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100472352676400 is an abundant number, since it is smaller than the sum of its proper divisors (140915644303600).

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

100472352676400 is a wasteful number, since it uses less digits than its factorization.

100472352676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298326 (or 3298315 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 100472352676400 in words is "one hundred trillion, four hundred seventy-two billion, three hundred fifty-two million, six hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 77999 155998 311996 389995 623992 779990 1247984 1559980 1949975 3119960 3220309 3899950 6239920 6440618 7799900 12881236 15599800 16101545 25762472 31199600 32203090 51524944 64406180 80507725 128812360 161015450 257624720 322030900 644061800 1288123600 251180881691 502361763382 1004723526764 1255904408455 2009447053528 2511808816910 4018894107056 5023617633820 6279522042275 10047235267640 12559044084550 20094470535280 25118088169100 50236176338200 100472352676400