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12402973206 = 235132151009
BaseRepresentation
bin10111000110100011…
…00101101000010110
31012000101101022200000
423203101211220112
5200400130120311
65410422432130
7616233350511
oct134321455026
935011338600
1012402973206
115295178388
1224a1892646
1312287a7500
14859357d78
154c8d20056
hex2e3465a16

12402973206 has 72 divisors (see below), whose sum is σ = 30177234360. Its totient is φ = 3816274176.

The previous prime is 12402973189. The next prime is 12402973213. The reversal of 12402973206 is 60237920421.

12402973206 is a `hidden beast` number, since 1 + 2 + 40 + 297 + 320 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6630 + ... + 157638.

It is an arithmetic number, because the mean of its divisors is an integer number (419128255).

Almost surely, 212402973206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12402973206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088617180).

12402973206 is an abundant number, since it is smaller than the sum of its proper divisors (17774261154).

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

12402973206 is a wasteful number, since it uses less digits than its factorization.

12402973206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151052 (or 151027 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12402973206 in words is "twelve billion, four hundred two million, nine hundred seventy-three thousand, two hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 338 351 486 507 702 1014 1053 1521 2106 3042 3159 4563 6318 9126 13689 27378 41067 82134 151009 302018 453027 906054 1359081 1963117 2718162 3926234 4077243 5889351 8154486 11778702 12231729 17668053 24463458 25520521 35336106 36695187 51041042 53004159 73390374 76561563 106008318 153123126 159012477 229684689 318024954 459369378 477037431 689054067 954074862 1378108134 2067162201 4134324402 6201486603 12402973206