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12641322125264 = 2471372801294131
BaseRepresentation
bin1011011111110100100110…
…0000111100011111010000
31122202111110110210121200112
42313331021200330133100
53124103411431002024
642515202044540452
72443206514101650
oct267751140743720
948674413717615
1012641322125264
114034177865748
121501b81251728
137090c12b3191
14319bb3c70360
1516dc6a88600e
hexb7f4983c7d0

12641322125264 has 80 divisors (see below), whose sum is σ = 28205978737536. Its totient is φ = 5376225792000.

The previous prime is 12641322125251. The next prime is 12641322125273. The reversal of 12641322125264 is 46252122314621.

It is a congruent number.

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, 42831479 + ... + 43125609.

Almost surely, 212641322125264 is an apocalyptic number.

12641322125264 is a gapful number since it is divisible by the number (14) 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 12641322125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102989368768).

12641322125264 is an abundant number, since it is smaller than the sum of its proper divisors (15564656612272).

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

12641322125264 is a wasteful number, since it uses less digits than its factorization.

12641322125264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297084 (or 297078 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

Adding to 12641322125264 its reverse (46252122314621), we get a palindrome (58893444439885).

The spelling of 12641322125264 in words is "twelve trillion, six hundred forty-one billion, three hundred twenty-two million, one hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 959 1096 1918 2192 2801 3836 5602 7672 11204 15344 19607 22408 39214 44816 78428 156856 294131 313712 383737 588262 767474 1176524 1534948 2058917 2353048 2686159 3069896 4117834 4706096 5372318 6139792 8235668 10744636 16471336 21489272 32942672 40295947 42978544 80591894 161183788 282071629 322367576 564143258 644735152 823860931 1128286516 1647721862 2256573032 3295443724 4513146064 5767026517 6590887448 11534053034 13181774896 23068106068 46136212136 92272424272 112868947547 225737895094 451475790188 790082632829 902951580376 1580165265658 1805903160752 3160330531316 6320661062632 12641322125264