Search a number
-
+
4274007696 = 2432731136777
BaseRepresentation
bin1111111011000000…
…0010111010010000
3102000212022002100100
43332300002322100
532223121221241
61544034452400
7210625315560
oct37660027220
912025262310
104274007696
1118a3625272
129b3434100
1353161b74a
142c78bcda0
151a034c9b6
hexfec02e90

4274007696 has 120 divisors (see below), whose sum is σ = 14111112704. Its totient is φ = 1181744640.

The previous prime is 4274007691. The next prime is 4274007697. The reversal of 4274007696 is 6967004724.

It is not an unprimeable number, because it can be changed into a prime (4274007691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37141 + ... + 99636.

Almost surely, 24274007696 is an apocalyptic number.

It is an amenable number.

4274007696 is an abundant number, since it is smaller than the sum of its proper divisors (9837105008).

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

4274007696 is a wasteful number, since it uses less digits than its factorization.

4274007696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136829 (or 136820 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4274007696 is about 65375.8953743656. The cubic root of 4274007696 is about 1622.8501996602.

The spelling of 4274007696 in words is "four billion, two hundred seventy-four million, seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 136777 273554 410331 547108 820662 957439 1094216 1230993 1641324 1914878 2188432 2461986 2872317 3282648 3829756 4240087 4923972 5744634 6565296 7659512 8480174 8616951 9847944 11489268 12720261 15319024 16960348 17233902 19695888 22978536 25440522 29680609 33920696 34467804 38160783 45957072 50881044 59361218 67841392 68935608 76321566 89041827 101762088 118722436 137871216 152643132 178083654 203524176 237444872 267125481 305286264 356167308 474889744 534250962 610572528 712334616 1068501924 1424669232 2137003848 4274007696