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12962948840 = 2353179132329
BaseRepresentation
bin11000001001010011…
…01110011011101000
31020110102002000211022
430010221232123220
5203022003330330
65542144552012
7636143150522
oct140451563350
936412060738
1012962948840
115552279366
122619322608
1312b77cb43a
148ad882a12
1550d083ae5
hex304a6e6e8

12962948840 has 64 divisors (see below), whose sum is σ = 30488832000. Its totient is φ = 4954360320.

The previous prime is 12962948839. The next prime is 12962948863. The reversal of 12962948840 is 4884926921.

It is a happy 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, 31796 + ... + 164124.

It is an arithmetic number, because the mean of its divisors is an integer number (476388000).

Almost surely, 212962948840 is an apocalyptic number.

12962948840 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 12962948840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15244416000).

12962948840 is an abundant number, since it is smaller than the sum of its proper divisors (17525883160).

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

12962948840 is a wasteful number, since it uses less digits than its factorization.

12962948840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132450 (or 132446 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 53.

The spelling of 12962948840 in words is "twelve billion, nine hundred sixty-two million, nine hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 248 310 316 395 620 632 790 1240 1580 2449 3160 4898 9796 12245 19592 24490 48980 97960 132329 264658 529316 661645 1058632 1323290 2646580 4102199 5293160 8204398 10453991 16408796 20510995 20907982 32817592 41021990 41815964 52269955 82043980 83631928 104539910 164087960 209079820 324073721 418159640 648147442 1296294884 1620368605 2592589768 3240737210 6481474420 12962948840