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193208937132 = 223171925359839
BaseRepresentation
bin1011001111110000100…
…1100110101010101100
3200110201001200221120110
42303330021212222230
511131142441442012
6224431534020020
716646616603621
oct2637411465254
9613631627513
10193208937132
1174a37454152
1231541347610
13152b13ac393
1494cc1d2348
15505c17c73c
hex2cfc266aac

193208937132 has 288 divisors, whose sum is σ = 522612518400. Its totient is φ = 55319906304.

The previous prime is 193208937127. The next prime is 193208937169. The reversal of 193208937132 is 231739802391.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230284369 + ... + 230285207.

It is an arithmetic number, because the mean of its divisors is an integer number (1814626800).

Almost surely, 2193208937132 is an apocalyptic number.

193208937132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193208937132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261306259200).

193208937132 is an abundant number, since it is smaller than the sum of its proper divisors (329403581268).

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

193208937132 is a wasteful number, since it uses less digits than its factorization.

193208937132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 193208937132 in words is "one hundred ninety-three billion, two hundred eight million, nine hundred thirty-seven thousand, one hundred thirty-two".