Search a number
-
+
13644574646850 = 2365271723136769
BaseRepresentation
bin1100011010001110000000…
…0001100110001001000010
31210022102000212102021000000
43012203200001212021002
53242023042102144400
645004121524140430
72605534164610140
oct306434001461102
953272025367000
1013644574646850
1143906a4747204
1216444b0537716
1377c8a73795b4
14352588254590
15189dd7922600
hexc68e0066242

13644574646850 has 672 divisors, whose sum is σ = 48047156570880. Its totient is φ = 2807661035520.

The previous prime is 13644574646849. The next prime is 13644574646881. The reversal of 13644574646850 is 5864647544631.

13644574646850 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 4 + 574 + 6 + 4 + 6 + 8 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 99695266 + ... + 99832034.

Almost surely, 213644574646850 is an apocalyptic number.

13644574646850 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 13644574646850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24023578285440).

13644574646850 is an abundant number, since it is smaller than the sum of its proper divisors (34402581924030).

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

13644574646850 is a wasteful number, since it uses less digits than its factorization.

13644574646850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136846 (or 136826 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 13644574646850 in words is "thirteen trillion, six hundred forty-four billion, five hundred seventy-four million, six hundred forty-six thousand, eight hundred fifty".