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2660407660032 = 2935346370583
BaseRepresentation
bin100110101101101100101…
…001110100111000000000
3100102022222101100222122020
4212231230221310320000
5322042003330110112
65354101401041440
7363131244665013
oct46555451647000
910368871328566
102660407660032
119362aa849461
1236b731186280
13163b4c242ac5
1492a9b7c337a
154930b27648c
hex26b6ca74e00

2660407660032 has 160 divisors (see below), whose sum is σ = 7236917664768. Its totient is φ = 868178927616.

The previous prime is 2660407660019. The next prime is 2660407660061. The reversal of 2660407660032 is 2300667040662.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37656613 + ... + 37727195.

Almost surely, 22660407660032 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 2660407660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618458832384).

2660407660032 is an abundant number, since it is smaller than the sum of its proper divisors (4576510004736).

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

2660407660032 is an equidigital number, since it uses as much as digits as its factorization.

2660407660032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71120 (or 71104 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 2660407660032 in words is "two trillion, six hundred sixty billion, four hundred seven million, six hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 463 512 636 768 848 926 1272 1389 1536 1696 1852 2544 2778 3392 3704 5088 5556 6784 7408 10176 11112 13568 14816 20352 22224 24539 27136 29632 40704 44448 49078 59264 70583 73617 81408 88896 98156 118528 141166 147234 177792 196312 211749 237056 282332 294468 355584 392624 423498 564664 588936 711168 785248 846996 1129328 1177872 1570496 1693992 2258656 2355744 3140992 3387984 3740899 4517312 4711488 6281984 6775968 7481798 9034624 9422976 11222697 12563968 13551936 14963596 18069248 18845952 22445394 27103872 29927192 32679929 36138496 37691904 44890788 54207744 59854384 65359858 89781576 98039787 108415488 119708768 130719716 179563152 196079574 239417536 261439432 359126304 392159148 478835072 522878864 718252608 784318296 957670144 1045757728 1436505216 1568636592 1732036237 1915340288 2091515456 2873010432 3137273184 3464072474 4183030912 5196108711 5746020864 6274546368 6928144948 8366061824 10392217422 12549092736 13856289896 16732123648 20784434844 25098185472 27712579792 41568869688 50196370944 55425159584 83137739376 110850319168 166275478752 221700638336 332550957504 443401276672 665101915008 886802553344 1330203830016 2660407660032