Search a number
-
+
464980985856 = 2113279319327
BaseRepresentation
bin1101100010000110000…
…01101100100000000000
31122110012022202110210200
412301003001230200000
530104240113021411
6553335340125200
745410443111242
oct6610301544000
91573168673720
10464980985856
1116a21970a8a2
1276149236800
1334b02cca62a
14187103a8092
15c166598e56
hex6c4306c800

464980985856 has 144 divisors (see below), whose sum is σ = 1359954086400. Its totient is φ = 153031237632.

The previous prime is 464980985831. The next prime is 464980985879. The reversal of 464980985856 is 658589089464.

464980985856 is a `hidden beast` number, since 4 + 6 + 498 + 0 + 9 + 85 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1296465 + ... + 1615791.

It is an arithmetic number, because the mean of its divisors is an integer number (9444125600).

Almost surely, 2464980985856 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 464980985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679977043200).

464980985856 is an abundant number, since it is smaller than the sum of its proper divisors (894973100544).

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

464980985856 is a wasteful number, since it uses less digits than its factorization.

464980985856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319434 (or 319411 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 464980985856 in words is "four hundred sixty-four billion, nine hundred eighty million, nine hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 256 288 316 384 474 512 576 632 711 768 948 1024 1152 1264 1422 1536 1896 2048 2304 2528 2844 3072 3792 4608 5056 5688 6144 7584 9216 10112 11376 15168 18432 20224 22752 30336 40448 45504 60672 80896 91008 121344 161792 182016 242688 319327 364032 485376 638654 728064 957981 1277308 1456128 1915962 2554616 2873943 3831924 5109232 5747886 7663848 10218464 11495772 15327696 20436928 22991544 25226833 30655392 40873856 45983088 50453666 61310784 75680499 81747712 91966176 100907332 122621568 151360998 163495424 183932352 201814664 227041497 245243136 302721996 326990848 367864704 403629328 454082994 490486272 605443992 653981696 735729408 807258656 908165988 980972544 1210887984 1471458816 1614517312 1816331976 1961945088 2421775968 2942917632 3229034624 3632663952 4843551936 5885835264 6458069248 7265327904 9687103872 12916138496 14530655808 19374207744 25832276992 29061311616 38748415488 51664553984 58122623232 77496830976 116245246464 154993661952 232490492928 464980985856