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72416243133156 = 223134111322114311
BaseRepresentation
bin10000011101110010111000…
…011100101010101011100100
3100111101220222111100122112210
4100131302320130222223210
533442431431220230111
6414003321323243420
721152621004264336
oct2035627034525344
9314356874318483
1072416243133156
112108a6133a769a
128156905379570
133153a8cb3c5b0
1413c4d71859456
15858aa53dc0a6
hex41dcb872aae4

72416243133156 has 48 divisors (see below), whose sum is σ = 186407290032768. Its totient is φ = 21738459475200.

The previous prime is 72416243133137. The next prime is 72416243133167. The reversal of 72416243133156 is 65133134261427.

It is a super-2 number, since 2×724162431331562 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5661050760 + ... + 5661063551.

It is an arithmetic number, because the mean of its divisors is an integer number (3883485209016).

Almost surely, 272416243133156 is an apocalyptic number.

It is an amenable number.

72416243133156 is an abundant number, since it is smaller than the sum of its proper divisors (113991046899612).

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

72416243133156 is a wasteful number, since it uses less digits than its factorization.

72416243133156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11322114372 (or 11322114370 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The spelling of 72416243133156 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-three million, one hundred thirty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 6396 11322114311 22644228622 33966342933 45288457244 67932685866 135865371732 147187486043 294374972086 441562458129 464206686751 588749944172 883124916258 928413373502 1392620060253 1766249832516 1856826747004 2785240120506 5570480241012 6034686927763 12069373855526 18104060783289 24138747711052 36208121566578 72416243133156