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7157020992 = 2631112726683
BaseRepresentation
bin1101010101001011…
…10111100101000000
3200110210012100002120
412222211313211000
5104124144132432
63142103444240
7342233450262
oct65245674500
920423170076
107157020992
113042a51890
121478a56680
138a09c2784
144bc751b32
152bd4d3c2c
hex1aa977940

7157020992 has 112 divisors (see below), whose sum is σ = 20821204992. Its totient is φ = 2151636480.

The previous prime is 7157020979. The next prime is 7157020999. The reversal of 7157020992 is 2990207517.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7157020999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254883 + ... + 281565.

It is an arithmetic number, because the mean of its divisors is an integer number (185903616).

Almost surely, 27157020992 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 7157020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10410602496).

7157020992 is an abundant number, since it is smaller than the sum of its proper divisors (13664184000).

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

7157020992 is a wasteful number, since it uses less digits than its factorization.

7157020992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26836 (or 26826 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 7157020992 is about 84599.1784357271. The cubic root of 7157020992 is about 1927.1288971836.

The spelling of 7157020992 in words is "seven billion, one hundred fifty-seven million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 132 176 192 254 264 352 381 508 528 704 762 1016 1056 1397 1524 2032 2112 2794 3048 4064 4191 5588 6096 8128 8382 11176 12192 16764 22352 24384 26683 33528 44704 53366 67056 80049 89408 106732 134112 160098 213464 268224 293513 320196 426928 587026 640392 853856 880539 1174052 1280784 1707712 1761078 2348104 2561568 3388741 3522156 4696208 5123136 6777482 7044312 9392416 10166223 13554964 14088624 18784832 20332446 27109928 28177248 37276151 40664892 54219856 56354496 74552302 81329784 108439712 111828453 149104604 162659568 216879424 223656906 298209208 325319136 447313812 596418416 650638272 894627624 1192836832 1789255248 2385673664 3578510496 7157020992