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12952942080 = 293513129737
BaseRepresentation
bin11000001000000111…
…00011011000000000
31020102201020122010120
430010003203120000
5203011423121310
65541150300240
7635662122351
oct140403433000
936381218116
1012952942080
115547664111
122615ab7680
1312b5706790
148ac3d9d28
1550c258b70
hex3040e3600

12952942080 has 160 divisors (see below), whose sum is σ = 44594583264. Its totient is φ = 3188391936.

The previous prime is 12952942063. The next prime is 12952942081. The reversal of 12952942080 is 8024925921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12952942081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34972 + ... + 164708.

Almost surely, 212952942080 is an apocalyptic number.

12952942080 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 12952942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297291632).

12952942080 is an abundant number, since it is smaller than the sum of its proper divisors (31641641184).

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

12952942080 is a wasteful number, since it uses less digits than its factorization.

12952942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129776 (or 129760 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 12952942080 in words is "twelve billion, nine hundred fifty-two million, nine hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 16640 19968 24960 33280 49920 99840 129737 259474 389211 518948 648685 778422 1037896 1297370 1556844 1686581 1946055 2075792 2594740 3113688 3373162 3892110 4151584 5059743 5189480 6227376 6746324 7784220 8303168 8432905 10119486 10378960 12454752 13492648 15568440 16606336 16865810 20238972 20757920 24909504 25298715 26985296 31136880 33212672 33731620 40477944 41515840 49819008 50597430 53970592 62273760 66425344 67463240 80955888 83031680 99638016 101194860 107941184 124547520 134926480 161911776 166063360 199276032 202389720 215882368 249095040 269852960 323823552 332126720 404779440 431764736 498190080 539705920 647647104 809558880 863529472 996380160 1079411840 1295294208 1619117760 2158823680 2590588416 3238235520 4317647360 6476471040 12952942080