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1332107960328 = 233417181668093
BaseRepresentation
bin10011011000100111110…
…100100110000000001000
311201100101220010211120000
4103120213310212000020
5133311124114212303
62455543440403000
7165145606560225
oct23304764460010
94640356124500
101332107960328
11473a42240aa2
12196208316460
1398804106732
144868d95294c
15249b7b39da3
hex13627d26008

1332107960328 has 160 divisors (see below), whose sum is σ = 3972446838360. Its totient is φ = 415606671360.

The previous prime is 1332107960317. The next prime is 1332107960329. The reversal of 1332107960328 is 8230697012331.

1332107960328 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 10 + 7 + 9 + 603 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 663674174244 + 668433786084 = 814662^2 + 817578^2 .

It is not an unprimeable number, because it can be changed into a prime (1332107960329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1659850 + ... + 2327942.

Almost surely, 21332107960328 is an apocalyptic number.

1332107960328 is a gapful number since it is divisible by the number (18) 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 1332107960328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986223419180).

1332107960328 is an abundant number, since it is smaller than the sum of its proper divisors (2640338878032).

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

1332107960328 is a wasteful number, since it uses less digits than its factorization.

1332107960328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668309 (or 668296 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1332107960328 in words is "one trillion, three hundred thirty-two billion, one hundred seven million, nine hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 181 204 216 306 324 362 408 459 543 612 648 724 918 1086 1224 1377 1448 1629 1836 2172 2754 3077 3258 3672 4344 4887 5508 6154 6516 9231 9774 11016 12308 13032 14661 18462 19548 24616 27693 29322 36924 39096 55386 58644 73848 83079 110772 117288 166158 221544 249237 332316 498474 664632 668093 996948 1336186 1993896 2004279 2672372 4008558 5344744 6012837 8017116 11357581 12025674 16034232 18038511 22715162 24051348 34072743 36077022 45430324 48102696 54115533 68145486 72154044 90860648 102218229 108231066 120924833 136290972 144308088 204436458 216462132 241849666 272581944 306654687 362774499 408872916 432924264 483699332 613309374 725548998 817745832 919964061 967398664 1088323497 1226618748 1451097996 1839928122 2055722161 2176646994 2453237496 2902195992 3264970491 3679856244 4111444322 4353293988 6167166483 6529940982 7359712488 8222888644 8706587976 9794911473 12334332966 13059881964 16445777288 18501499449 19589822946 24668665932 26119763928 37002998898 39179645892 49337331864 55504498347 74005997796 78359291784 111008996694 148011995592 166513495041 222017993388 333026990082 444035986776 666053980164 1332107960328