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4939114029696 = 2734721119181257
BaseRepresentation
bin100011111011111101000…
…1000110010001010000000
3122111011201100102100220000
41013313322020302022000
51121410301142422241
614300555254520000
71016560564360500
oct107677210621200
918434640370800
104939114029696
11163473711a940
12679297366000
1329a9aac134c2
141310a9389a00
1588727313eb6
hex47dfa232280

4939114029696 has 1920 divisors, whose sum is σ = 19819958558400. Its totient is φ = 1203948748800.

The previous prime is 4939114029679. The next prime is 4939114029769. The reversal of 4939114029696 is 6969204119394.

4939114029696 is a `hidden beast` number, since 49 + 3 + 9 + 11 + 402 + 96 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19218342400 + ... + 19218342656.

Almost surely, 24939114029696 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 4939114029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909979279200).

4939114029696 is an abundant number, since it is smaller than the sum of its proper divisors (14880844528704).

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

4939114029696 is a wasteful number, since it uses less digits than its factorization.

4939114029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 4939114029696 in words is "four trillion, nine hundred thirty-nine billion, one hundred fourteen million, twenty-nine thousand, six hundred ninety-six".