Search a number
-
+
72416246157040 = 2457911458266797
BaseRepresentation
bin10000011101110010111000…
…101000001100111011110000
3100111101220222201001021112111
4100131302320220030323300
533442431433004011130
6414003321512135104
721152621042060332
oct2035627050147360
9314356881037474
1072416246157040
112108a615082575
128156906397494
133153a9065aa86
1413c4d72005452
15858aa57d802a
hex41dcb8a0cef0

72416246157040 has 40 divisors (see below), whose sum is σ = 170499009954240. Its totient is φ = 28599833922816.

The previous prime is 72416246157037. The next prime is 72416246157041. The reversal of 72416246157040 is 4075164261427.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×724162461570402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416246157041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5729127079 + ... + 5729139718.

It is an arithmetic number, because the mean of its divisors is an integer number (4262475248856).

Almost surely, 272416246157040 is an apocalyptic number.

It is an amenable number.

72416246157040 is an abundant number, since it is smaller than the sum of its proper divisors (98082763797200).

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

72416246157040 is a wasteful number, since it uses less digits than its factorization.

72416246157040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11458266889 (or 11458266883 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 72416246157040 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-six million, one hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 11458266797 22916533594 45833067188 57291333985 91666134376 114582667970 183332268752 229165335940 458330671880 905203076963 916661343760 1810406153926 3620812307852 4526015384815 7241624615704 9052030769630 14483249231408 18104061539260 36208123078520 72416246157040