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14648936192 = 281114934913
BaseRepresentation
bin11011010010010010…
…10000011100000000
31101210220120001200022
431221021100130000
5220000111424232
610421333313012
71026004621532
oct155111203400
941726501608
1014648936192
116237a40640
122a09a95768
1314c5bac8a7
149cd75b852
155ab0ba812
hex369250700

14648936192 has 72 divisors (see below), whose sum is σ = 32113897200. Its totient is φ = 6613729280.

The previous prime is 14648936189. The next prime is 14648936209. The reversal of 14648936192 is 29163984641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402128 + ... + 437040.

It is an arithmetic number, because the mean of its divisors is an integer number (446026350).

Almost surely, 214648936192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14648936192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056948600).

14648936192 is an abundant number, since it is smaller than the sum of its proper divisors (17464961008).

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

14648936192 is a wasteful number, since it uses less digits than its factorization.

14648936192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35089 (or 35075 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The spelling of 14648936192 in words is "fourteen billion, six hundred forty-eight million, nine hundred thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 149 176 256 298 352 596 704 1192 1408 1639 2384 2816 3278 4768 6556 9536 13112 19072 26224 34913 38144 52448 69826 104896 139652 209792 279304 384043 419584 558608 768086 1117216 1536172 2234432 3072344 4468864 5202037 6144688 8937728 10404074 12289376 20808148 24578752 41616296 49157504 57222407 83232592 98315008 114444814 166465184 228889628 332930368 457779256 665860736 915558512 1331721472 1831117024 3662234048 7324468096 14648936192