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132234666104064 = 2831511621718329
BaseRepresentation
bin11110000100010001001000…
…010011001101010100000000
3122100012111210020112101001110
4132010101020103031110000
5114313013044010312224
61145123433400003320
736565432204164366
oct3604211023152400
9570174706471043
10132234666104064
1139152452735297
12129b7b6a160540
1358a28a2124224
142492298b61636
151044ad90c3929
hex7844484cd500

132234666104064 has 144 divisors (see below), whose sum is σ = 352245833896320. Its totient is φ = 44039562362880.

The previous prime is 132234666104039. The next prime is 132234666104113. The reversal of 132234666104064 is 460401666432231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7214496052 + ... + 7214514380.

It is an arithmetic number, because the mean of its divisors is an integer number (2446151624280).

Almost surely, 2132234666104064 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 132234666104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176122916948160).

132234666104064 is an abundant number, since it is smaller than the sum of its proper divisors (220011167792256).

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

132234666104064 is a wasteful number, since it uses less digits than its factorization.

132234666104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26076 (or 26062 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 132234666104064 in words is "one hundred thirty-two trillion, two hundred thirty-four billion, six hundred sixty-six million, one hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1511 3022 4533 6044 6217 9066 12088 12434 18132 18329 18651 24176 24868 36264 36658 37302 48352 49736 54987 72528 73316 74604 96704 99472 109974 145056 146632 149208 193408 198944 219948 290112 293264 298416 386816 397888 439896 580224 586528 596832 795776 879792 1160448 1173056 1193664 1591552 1759584 2346112 2387328 3519168 4692224 4774656 7038336 9393887 14076672 18787774 27695119 28181661 37575548 55390238 56363322 75151096 83085357 110780476 112726644 113951393 150302192 166170714 221560952 225453288 227902786 300604384 332341428 341854179 443121904 450906576 455805572 601208768 664682856 683708358 886243808 901813152 911611144 1202417536 1329365712 1367416716 1772487616 1803626304 1823222288 2404835072 2658731424 2734833432 3544975232 3607252608 3646444576 5317462848 5469666864 7089950464 7214505216 7292889152 10634925696 10939333728 14585778304 21269851392 21878667456 29171556608 43757334912 87514669824 172180554823 344361109646 516541664469 688722219292 1033083328938 1377444438584 2066166657876 2754888877168 4132333315752 5509777754336 8264666631504 11019555508672 16529333263008 22039111017344 33058666526016 44078222034688 66117333052032 132234666104064