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49540436352 = 27331131127331
BaseRepresentation
bin101110001000110101…
…110001000110000000
311201212120001220211000
4232020311301012000
51302424322430402
634431503252000
73402441522021
oct561065610600
9151776056730
1049540436352
111a012315090
129726baa000
1348967a4c84
14257d6a2c48
15144e367c1c
hexb88d71180

49540436352 has 512 divisors, whose sum is σ = 166448332800. Its totient is φ = 14370048000.

The previous prime is 49540436347. The next prime is 49540436369. The reversal of 49540436352 is 25363404594.

49540436352 is a `hidden beast` number, since 4 + 9 + 5 + 4 + 0 + 4 + 3 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49540436298 and 49540436307.

It is a congruent number.

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, 149668827 + ... + 149669157.

It is an arithmetic number, because the mean of its divisors is an integer number (325094400).

Almost surely, 249540436352 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 49540436352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83224166400).

49540436352 is an abundant number, since it is smaller than the sum of its proper divisors (116907896448).

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

49540436352 is a wasteful number, since it uses less digits than its factorization.

49540436352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 49540436352 in words is "forty-nine billion, five hundred forty million, four hundred thirty-six thousand, three hundred fifty-two".