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138088074002600 = 23524321417499651
BaseRepresentation
bin11111011001011100100010…
…100110010100000010101000
3200002221002110022011121000102
4133121130202212110002220
5121044413333421040400
61205404441353324532
741041351126326551
oct3731344246240250
9602832408147012
10138088074002600
113aaa990690a167
12135a2488706748
135c08859c64887
1426156d9a25328
1510e6ec37449d5
hex7d97229940a8

138088074002600 has 96 divisors (see below), whose sum is σ = 328674648788640. Its totient is φ = 53925483360000.

The previous prime is 138088074002537. The next prime is 138088074002647. The reversal of 138088074002600 is 6200470880831.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14662775 + ... + 22162425.

It is an arithmetic number, because the mean of its divisors is an integer number (3423694258215).

Almost surely, 2138088074002600 is an apocalyptic number.

138088074002600 is a gapful number since it is divisible by the number (10) 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 138088074002600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164337324394320).

138088074002600 is an abundant number, since it is smaller than the sum of its proper divisors (190586574786040).

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

138088074002600 is a wasteful number, since it uses less digits than its factorization.

138088074002600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501851 (or 7501842 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 138088074002600 in words is "one hundred thirty-eight trillion, eighty-eight billion, seventy-four million, two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2141 2150 4282 4300 8564 8600 10705 17128 21410 42820 53525 85640 92063 107050 184126 214100 368252 428200 460315 736504 920630 1841260 2301575 3682520 4603150 7499651 9206300 14999302 18412600 29998604 37498255 59997208 74996510 149993020 187491275 299986040 322484993 374982550 644969986 749965100 1289939972 1499930200 1612424965 2579879944 3224849930 6449699860 8062124825 12899399720 16056752791 16124249650 32113505582 32248499300 64227011164 64496998600 80283763955 128454022328 160567527910 321135055820 401418819775 642270111640 690440370013 802837639550 1380880740026 1605675279100 2761761480052 3211350558200 3452201850065 5523522960104 6904403700130 13808807400260 17261009250325 27617614800520 34522018500650 69044037001300 138088074002600