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49579029923640 = 23357173192337743
BaseRepresentation
bin10110100010111100001000…
…11101111000011100111000
320111112201010211200122022020
423101132010131320130320
522444300323130024030
6253240143015354440
713304652403002210
oct1321360435703470
9214481124618266
1049579029923640
1114885391961a78
1256888b8982a20
132188389749139
14c358d03a1240
155ae9e727a510
hex2d1784778738

49579029923640 has 2048 divisors, whose sum is σ = 204014370816000. Its totient is φ = 9391190409216.

The previous prime is 49579029923567. The next prime is 49579029923641. The reversal of 49579029923640 is 4632992097594.

49579029923640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49579029923641) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 66728169109 + ... + 66728169851.

It is an arithmetic number, because the mean of its divisors is an integer number (99616392000).

Almost surely, 249579029923640 is an apocalyptic number.

49579029923640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49579029923640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102007185408000).

49579029923640 is an abundant number, since it is smaller than the sum of its proper divisors (154435340892360).

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

49579029923640 is a wasteful number, since it uses less digits than its factorization.

49579029923640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 69.

The spelling of 49579029923640 in words is "forty-nine trillion, five hundred seventy-nine billion, twenty-nine million, nine hundred twenty-three thousand, six hundred forty".