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7139812032 = 263213279341
BaseRepresentation
bin1101010011001000…
…01110001011000000
3200102120211000211200
412221210032023000
5104110242441112
63140250541200
7341634254343
oct65144161300
920376730750
107139812032
113034268501
121473137800
1389a278862
144ba35245a
152bbc34cdc
hex1a990e2c0

7139812032 has 84 divisors (see below), whose sum is σ = 20482596576. Its totient is φ = 2377889280.

The previous prime is 7139812021. The next prime is 7139812061. The reversal of 7139812032 is 2302189317.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759682 + ... + 769022.

Almost surely, 27139812032 is an apocalyptic number.

7139812032 is a gapful number since it is divisible by the number (72) 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 7139812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241298288).

7139812032 is an abundant number, since it is smaller than the sum of its proper divisors (13342784544).

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

7139812032 is a wasteful number, since it uses less digits than its factorization.

7139812032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7139812032 is about 84497.4084336319. The cubic root of 7139812032 is about 1925.5830724421.

The spelling of 7139812032 in words is "seven billion, one hundred thirty-nine million, eight hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1327 2654 3981 5308 7962 9341 10616 11943 15924 18682 21232 23886 28023 31848 37364 42464 47772 56046 63696 74728 84069 84928 95544 112092 127392 149456 168138 191088 224184 254784 298912 336276 382176 448368 597824 672552 764352 896736 1345104 1793472 2690208 5380416 12395507 24791014 37186521 49582028 74373042 99164056 111559563 148746084 198328112 223119126 297492168 396656224 446238252 594984336 793312448 892476504 1189968672 1784953008 2379937344 3569906016 7139812032