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14968503846 = 2323733167901
BaseRepresentation
bin11011111000011000…
…10011111000100110
31102122011212210002100
431330030103320212
5221123414110341
610513150552530
71036635116622
oct157414237046
942564783070
1014968503846
11639136a53a
122a98b08746
13154716c08a
14a1dd86182
155c91923b6
hex37c313e26

14968503846 has 48 divisors (see below), whose sum is σ = 33409413648. Its totient is φ = 4839912000.

The previous prime is 14968503839. The next prime is 14968503877. The reversal of 14968503846 is 64830586941.

14968503846 is a `hidden beast` number, since 1 + 4 + 96 + 8 + 503 + 8 + 46 = 666.

It is a super-2 number, since 2×149685038462 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14968503792 and 14968503801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186496 + ... + 254396.

It is an arithmetic number, because the mean of its divisors is an integer number (696029451).

Almost surely, 214968503846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14968503846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704706824).

14968503846 is an abundant number, since it is smaller than the sum of its proper divisors (18440909802).

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

14968503846 is a wasteful number, since it uses less digits than its factorization.

14968503846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68277 (or 68274 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 14968503846 in words is "fourteen billion, nine hundred sixty-eight million, five hundred three thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 331 333 662 666 993 1986 2979 5958 12247 24494 36741 67901 73482 110223 135802 203703 220446 407406 611109 1222218 2512337 5024674 7537011 15074022 22475231 22611033 44950462 45222066 67425693 134851386 202277079 404554158 831583547 1663167094 2494750641 4989501282 7484251923 14968503846