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12906236970 = 232511171940361
BaseRepresentation
bin11000000010100010…
…11000110000101010
31020022110100202202200
430001101120300222
5202412444040340
65532401241030
7634554130014
oct140121306052
936273322680
1012906236970
115523263950
122602333176
1312a8b33013
148a611d1b4
155080d0330
hex301458c2a

12906236970 has 192 divisors, whose sum is σ = 40801138560. Its totient is φ = 2789683200.

The previous prime is 12906236963. The next prime is 12906236999. The reversal of 12906236970 is 7963260921.

It is a happy number.

12906236970 is a `hidden beast` number, since 12 + 9 + 0 + 623 + 6 + 9 + 7 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299590 + ... + 339950.

It is an arithmetic number, because the mean of its divisors is an integer number (212505930).

Almost surely, 212906236970 is an apocalyptic number.

12906236970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12906236970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400569280).

12906236970 is an abundant number, since it is smaller than the sum of its proper divisors (27894901590).

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

12906236970 is a wasteful number, since it uses less digits than its factorization.

12906236970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40421 (or 40418 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 12906236970 in words is "twelve billion, nine hundred six million, two hundred thirty-six thousand, nine hundred seventy".