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10032040541352 = 2334397091342973
BaseRepresentation
bin1001000111111100010000…
…1101100111110010101000
31022112001110011011101201010
42101333010031213302220
52303331104334310402
633200353353023520
72053535213426304
oct221770415476250
938461404141633
1010032040541352
113218623394a65
12116033a0b4ba0
1357a02c1c0a2b
142697a6586d04
15125e52c8ba6c
hex91fc4367ca8

10032040541352 has 64 divisors (see below), whose sum is σ = 25172704656000. Its totient is φ = 3331687912704.

The previous prime is 10032040541323. The next prime is 10032040541387. The reversal of 10032040541352 is 25314504023001.

10032040541352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6798538 + ... + 8141510.

It is an arithmetic number, because the mean of its divisors is an integer number (393323510250).

Almost surely, 210032040541352 is an apocalyptic number.

10032040541352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032040541352 is an abundant number, since it is smaller than the sum of its proper divisors (15140664114648).

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

10032040541352 is a wasteful number, since it uses less digits than its factorization.

10032040541352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344130 (or 1344126 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10032040541352 its reverse (25314504023001), we get a palindrome (35346544564353).

The spelling of 10032040541352 in words is "ten trillion, thirty-two billion, forty million, five hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 439 709 878 1317 1418 1756 2127 2634 2836 3512 4254 5268 5672 8508 10536 17016 311251 622502 933753 1245004 1342973 1867506 2490008 2685946 3735012 4028919 5371892 7470024 8057838 10743784 16115676 32231352 589565147 952167857 1179130294 1768695441 1904335714 2358260588 2856503571 3537390882 3808671428 4716521176 5713007142 7074781764 7617342856 11426014284 14149563528 22852028568 418001689223 836003378446 1254005067669 1672006756892 2508010135338 3344013513784 5016020270676 10032040541352