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481294002432 = 2833838211993
BaseRepresentation
bin1110000000011110101…
…10111010100100000000
31201000022012120120121210
413000033112322210000
530341142231034212
61005034200450120
746525625343315
oct7001726724400
91630265516553
10481294002432
1117612aa0a681
1279340479940
133650288b269
141941ab3ad0c
15c7bd7c053c
hex700f5ba900

481294002432 has 144 divisors (see below), whose sum is σ = 1286497916928. Its totient is φ = 159737364480.

The previous prime is 481294002379. The next prime is 481294002437. The reversal of 481294002432 is 234200492184.

It is not an unprimeable number, because it can be changed into a prime (481294002437) 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, 241491228 + ... + 241493220.

It is an arithmetic number, because the mean of its divisors is an integer number (8934013312).

Almost surely, 2481294002432 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 481294002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643248958464).

481294002432 is an abundant number, since it is smaller than the sum of its proper divisors (805203914496).

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

481294002432 is a wasteful number, since it uses less digits than its factorization.

481294002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 481294002432 in words is "four hundred eighty-one billion, two hundred ninety-four million, two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 383 384 766 768 821 1149 1532 1642 1993 2298 2463 3064 3284 3986 4596 4926 5979 6128 6568 7972 9192 9852 11958 12256 13136 15944 18384 19704 23916 24512 26272 31888 36768 39408 47832 49024 52544 63776 73536 78816 95664 98048 105088 127552 147072 157632 191328 210176 255104 294144 314443 315264 382656 510208 628886 630528 763319 765312 943329 1257772 1526638 1530624 1636253 1886658 2289957 2515544 3053276 3272506 3773316 4579914 4908759 5031088 6106552 6545012 7546632 9159828 9817518 10062176 12213104 13090024 15093264 18319656 19635036 20124352 24426208 26180048 30186528 36639312 39270072 40248704 48852416 52360096 60373056 73278624 78540144 80497408 97704832 104720192 120746112 146557248 157080288 195409664 209440384 241492224 293114496 314160576 418880768 586228992 626684899 628321152 1253369798 1256642304 1880054697 2506739596 3760109394 5013479192 7520218788 10026958384 15040437576 20053916768 30080875152 40107833536 60161750304 80215667072 120323500608 160431334144 240647001216 481294002432