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492082433160 = 233517827291677
BaseRepresentation
bin1110010100100100110…
…01100000110010001000
31202001011001220122101020
413022102121200302020
531030241100330120
61014020510152440
750360155445163
oct7122231406210
91661131818336
10492082433160
1117a76678332a
127b4514b2720
1337531a0a696
1419b61896ada
15cc009bc640
hex7292660c88

492082433160 has 128 divisors (see below), whose sum is σ = 1564980808320. Its totient is φ = 123353280512.

The previous prime is 492082433147. The next prime is 492082433173. The reversal of 492082433160 is 61334280294.

It is an interprime number because it is at equal distance from previous prime (492082433147) and next prime (492082433173).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541242 + ... + 1832918.

It is an arithmetic number, because the mean of its divisors is an integer number (12226412565).

Almost surely, 2492082433160 is an apocalyptic number.

492082433160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492082433160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782490404160).

492082433160 is an abundant number, since it is smaller than the sum of its proper divisors (1072898375160).

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

492082433160 is a wasteful number, since it uses less digits than its factorization.

492082433160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292535 (or 292531 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 492082433160 in words is "four hundred ninety-two billion, eighty-two million, four hundred thirty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 827 1020 1654 2040 2481 3308 4135 4962 6616 8270 9924 12405 14059 16540 19848 24810 28118 33080 42177 49620 56236 70295 84354 99240 112472 140590 168708 210885 281180 291677 337416 421770 562360 583354 843540 875031 1166708 1458385 1687080 1750062 2333416 2916770 3500124 4375155 4958509 5833540 7000248 8750310 9917018 11667080 14875527 17500620 19834036 24792545 29751054 35001240 39668072 49585090 59502108 74377635 99170180 119004216 148755270 198340360 241216879 297510540 482433758 595021080 723650637 964867516 1206084395 1447301274 1929735032 2412168790 2894602548 3618253185 4100686943 4824337580 5789205096 7236506370 8201373886 9648675160 12302060829 14473012740 16402747772 20503434715 24604121658 28946025480 32805495544 41006869430 49208243316 61510304145 82013738860 98416486632 123020608290 164027477720 246041216580 492082433160