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7990929664 = 283721512
BaseRepresentation
bin1110111000100101…
…11110100100000000
3202121220100021201221
413130102332210000
5112331134222124
63400533204424
7402010532014
oct73422764400
922556307657
107990929664
113430742803
121670190714
139a46b8763
1455b3c6544
1531b807ce4
hex1dc4be900

7990929664 has 81 divisors (see below), whose sum is σ = 16502679081. Its totient is φ = 3861734400.

The previous prime is 7990929659. The next prime is 7990929673. The reversal of 7990929664 is 4669290997.

The square root of 7990929664 is 89392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7150393600 + 840536064 = 84560^2 + 28992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52919989 + ... + 52920139.

Almost surely, 27990929664 is an apocalyptic number.

7990929664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

7990929664 is the 89392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7990929664

7990929664 is an abundant number, since it is smaller than the sum of its proper divisors (8511749417).

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

7990929664 is an frugal number, since it uses more digits than its factorization.

7990929664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 61.

The cubic root of 7990929664 is about 1999.2438528234.

The spelling of 7990929664 in words is "seven billion, nine hundred ninety million, nine hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 151 256 296 302 592 604 1184 1208 1369 2368 2416 2738 4736 4832 5476 5587 9472 9664 10952 11174 19328 21904 22348 22801 38656 43808 44696 45602 87616 89392 91204 175232 178784 182408 206719 350464 357568 364816 413438 715136 729632 826876 843637 1430272 1459264 1653752 1687274 2918528 3307504 3374548 5837056 6615008 6749096 13230016 13498192 26460032 26996384 31214569 52920064 53992768 62429138 107985536 124858276 215971072 249716552 499433104 998866208 1997732416 3995464832 7990929664