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21377416140 = 22325367732299
BaseRepresentation
bin10011111010001100…
…010111101111001100
32001011211101020222100
4103322030113233030
5322240104304030
613453132115100
71354516016253
oct237214275714
961154336870
1021377416140
11907aaa3173
124187305a90
132028b79b82
14106b1d979a
15851b4e360
hex4fa317bcc

21377416140 has 72 divisors (see below), whose sum is σ = 64864472400. Its totient is φ = 5698917504.

The previous prime is 21377416129. The next prime is 21377416169. The reversal of 21377416140 is 4161477312.

21377416140 is a `hidden beast` number, since 2 + 1 + 37 + 7 + 4 + 1 + 614 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21377416095 and 21377416104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645711 + ... + 678009.

It is an arithmetic number, because the mean of its divisors is an integer number (900895450).

Almost surely, 221377416140 is an apocalyptic number.

21377416140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21377416140 is an abundant number, since it is smaller than the sum of its proper divisors (43487056260).

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

21377416140 is a wasteful number, since it uses less digits than its factorization.

21377416140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35991 (or 35986 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 21377416140 in words is "twenty-one billion, three hundred seventy-seven million, four hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3677 7354 11031 14708 18385 22062 32299 33093 36770 44124 55155 64598 66186 73540 96897 110310 129196 132372 161495 165465 193794 220620 290691 322990 330930 387588 484485 581382 645980 661860 968970 1162764 1453455 1937940 2906910 5813820 118763423 237526846 356290269 475053692 593817115 712580538 1068870807 1187634230 1425161076 1781451345 2137741614 2375268460 3562902690 4275483228 5344354035 7125805380 10688708070 21377416140