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100142713376704 = 263759970600997
BaseRepresentation
bin10110110001010001001010…
…110110111000111111000000
3111010120112211212201020010101
4112301101022312320333000
5101111214234111023304
6552552532153412144
730044033535626635
oct2661211266707700
9433515755636111
10100142713376704
11299aa316a933a9
12b2943b410a054
1343b5556bc618b
141aa2d0c95618c
15b89e1d8198a4
hex5b144adb8fc0

100142713376704 has 56 divisors (see below), whose sum is σ = 204432249808800. Its totient is φ = 48636743740416.

The previous prime is 100142713376683. The next prime is 100142713376707. The reversal of 100142713376704 is 407673317241001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142713376707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33882067 + ... + 36718930.

Almost surely, 2100142713376704 is an apocalyptic number.

It is an amenable number.

100142713376704 is an abundant number, since it is smaller than the sum of its proper divisors (104289536432096).

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

100142713376704 is an equidigital number, since it uses as much as digits as its factorization.

100142713376704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70601645 (or 70601635 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 100142713376704 in words is "one hundred trillion, one hundred forty-two billion, seven hundred thirteen million, three hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 599 1184 1198 2368 2396 4792 9584 19168 22163 38336 44326 88652 177304 354608 709216 1418432 70600997 141201994 282403988 564807976 1129615952 2259231904 2612236889 4518463808 5224473778 10448947556 20897895112 41795790224 42289997203 83591580448 84579994406 167183160896 169159988812 338319977624 676639955248 1353279910496 1564729896511 2706559820992 3129459793022 6258919586044 12517839172088 25035678344176 50071356688352 100142713376704