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132830076447408 = 24379892771420883
BaseRepresentation
bin11110001100111011101001…
…100001011010101010110000
3122102022102122102010201020010
4132030323221201122222300
5114402241444032304113
61150301143354014520
736656441056456254
oct3614735141325260
9572272572121203
10132830076447408
1139361a1231090a
1212a93437a17440
135916a8cc46362
1424b301d63c264
1510553360431c3
hex78cee985aab0

132830076447408 has 160 divisors (see below), whose sum is σ = 352661135385600. Its totient is φ = 43068956755968.

The previous prime is 132830076447401. The next prime is 132830076447421. The reversal of 132830076447408 is 804744670038231.

It is not an unprimeable number, because it can be changed into a prime (132830076447401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92773735 + ... + 94194617.

It is an arithmetic number, because the mean of its divisors is an integer number (2204132096160).

Almost surely, 2132830076447408 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 132830076447408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176330567692800).

132830076447408 is an abundant number, since it is smaller than the sum of its proper divisors (219831058938192).

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

132830076447408 is a wasteful number, since it uses less digits than its factorization.

132830076447408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421339 (or 1421333 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 132830076447408 in words is "one hundred thirty-two trillion, eight hundred thirty billion, seventy-six million, four hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 89 158 178 237 267 277 316 356 474 534 554 632 712 831 948 1068 1108 1264 1424 1662 1896 2136 2216 3324 3792 4272 4432 6648 7031 13296 14062 21093 21883 24653 28124 42186 43766 49306 56248 65649 73959 84372 87532 98612 112496 131298 147918 168744 175064 197224 262596 295836 337488 350128 394448 525192 591672 1050384 1183344 1420883 1947587 2841766 3895174 4262649 5683532 5842761 7790348 8525298 11367064 11685522 15580696 17050596 22734128 23371044 31161392 34101192 46742088 68202384 93484176 112249757 126458587 224499514 252917174 336749271 379375761 393584591 448999028 505834348 673498542 758751522 787169182 897998056 1011668696 1180753773 1346997084 1517503044 1574338364 1795996112 2023337392 2361507546 2693994168 3035006088 3148676728 4723015092 5387988336 6070012176 6297353456 9446030184 9990228373 18892060368 19980456746 29970685119 31093182689 35029028599 39960913492 59941370238 62186365378 70058057198 79921826984 93279548067 105087085797 119882740476 124372730756 140116114396 159843653968 186559096134 210174171594 239765480952 248745461512 280232228792 373118192268 420348343188 479530961904 497490923024 560464457584 746236384536 840696686376 1492472769072 1681393372752 2767293259321 5534586518642 8301879777963 11069173037284 16603759555926 22138346074568 33207519111852 44276692149136 66415038223704 132830076447408