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12902793552 = 243211172383251
BaseRepresentation
bin11000000010001000…
…10000000101010000
31020022012212211021200
430001010100011100
5202411103343202
65532155351200
7634512635625
oct140104200520
936265784250
1012902793552
115521321850
122601152500
1312a81c88ac
148a58a434c
15507b4ee1c
hex301110150

12902793552 has 480 divisors, whose sum is σ = 44223169536. Its totient is φ = 3463680000.

The previous prime is 12902793503. The next prime is 12902793599. The reversal of 12902793552 is 25539720921.

12902793552 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 2 + 7 + 93 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12902793498 and 12902793507.

It is a congruent number.

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, 51405427 + ... + 51405677.

Almost surely, 212902793552 is an apocalyptic number.

12902793552 is a gapful number since it is divisible by the number (12) 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 12902793552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22111584768).

12902793552 is an abundant number, since it is smaller than the sum of its proper divisors (31320375984).

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

12902793552 is a wasteful number, since it uses less digits than its factorization.

12902793552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 12902793552 in words is "twelve billion, nine hundred two million, seven hundred ninety-three thousand, five hundred fifty-two".