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193368693888 = 2732167854769
BaseRepresentation
bin1011010000010110101…
…1000001110010000000
3200111010012022102122100
42310011223001302000
511132004341201023
6224455442110400
716653566531016
oct2640553016200
9614105272570
10193368693888
117500964a827
123158694b400
13153085161c6
1495054da8b6
15506b1d7c43
hex2d05ac1c80

193368693888 has 48 divisors (see below), whose sum is σ = 556438562550. Its totient is φ = 64456230912.

The previous prime is 193368693857. The next prime is 193368693899. The reversal of 193368693888 is 888396863391.

It can be written as a sum of positive squares in only one way, i.e., 166601116224 + 26767577664 = 408168^2 + 163608^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83926233 + ... + 83928536.

Almost surely, 2193368693888 is an apocalyptic number.

193368693888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

193368693888 is an abundant number, since it is smaller than the sum of its proper divisors (363069868662).

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

193368693888 is a wasteful number, since it uses less digits than its factorization.

193368693888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167854789 (or 167854774 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 193368693888 in words is "one hundred ninety-three billion, three hundred sixty-eight million, six hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 167854769 335709538 503564307 671419076 1007128614 1342838152 1510692921 2014257228 2685676304 3021385842 4028514456 5371352608 6042771684 8057028912 10742705216 12085543368 16114057824 21485410432 24171086736 32228115648 48342173472 64456231296 96684346944 193368693888