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537942729378432 = 27373113787753731
BaseRepresentation
bin111101001010000011000110…
…1010010110100101010000000
32121112200211012201212210100210
41322110012031102310222000
51031002123202210102212
65144035251144514120
7221211036213331230
oct17224061522645200
92545624181783323
10537942729378432
11146450259661454
1250400aa377b940
131a121a2156b721
1496ba7d1cb1cc0
15422d1d182453c
hex1e9418d4b4a80

537942729378432 has 512 divisors, whose sum is σ = 1699991482613760. Its totient is φ = 147483124531200.

The previous prime is 537942729378391. The next prime is 537942729378449. The reversal of 537942729378432 is 234873927249735.

It is a happy number.

It is a super-2 number, since 2×5379427293784322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10011749007 + ... + 10011802737.

It is an arithmetic number, because the mean of its divisors is an integer number (3320295864480).

Almost surely, 2537942729378432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537942729378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849995741306880).

537942729378432 is an abundant number, since it is smaller than the sum of its proper divisors (1162048753235328).

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

537942729378432 is a wasteful number, since it uses less digits than its factorization.

537942729378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54800 (or 54788 counting only the distinct ones).

The product of its digits is 3840721920, while the sum is 75.

The spelling of 537942729378432 in words is "five hundred thirty-seven trillion, nine hundred forty-two billion, seven hundred twenty-nine million, three hundred seventy-eight thousand, four hundred thirty-two".