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12926960640 = 210335118501
BaseRepresentation
bin11000000101000000…
…11100010000000000
31020100220100122022000
430002200130100000
5202433300220030
65534421344000
7635225231616
oct140240342000
936326318260
1012926960640
115533a28950
122609268000
1312b020a949
148a8b956b6
15509d25860
hex30281c400

12926960640 has 352 divisors, whose sum is σ = 50122350720. Its totient is φ = 3133440000.

The previous prime is 12926960623. The next prime is 12926960647. The reversal of 12926960640 is 4606962921.

12926960640 is a `hidden beast` number, since 12 + 9 + 26 + 9 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×129269606402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12926960647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516390 + ... + 1524890.

Almost surely, 212926960640 is an apocalyptic number.

12926960640 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 12926960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061175360).

12926960640 is an abundant number, since it is smaller than the sum of its proper divisors (37195390080).

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

12926960640 is a wasteful number, since it uses less digits than its factorization.

12926960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12926960640 in words is "twelve billion, nine hundred twenty-six million, nine hundred sixty thousand, six hundred forty".