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133614374088 = 233131783367827
BaseRepresentation
bin111110001110000001…
…0011000110011001000
3110202212211000110202210
41330130002120303020
54142120234432323
6141214231425120
712440042304066
oct1743402306310
9422784013683
10133614374088
1151735915958
1221a8b2251a0
13c7a4948420
14667751b036
153720314293
hex1f1c098cc8

133614374088 has 256 divisors, whose sum is σ = 386998456320. Its totient is φ = 38077304832.

The previous prime is 133614374087. The next prime is 133614374107. The reversal of 133614374088 is 880473416331.

133614374088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3655332-1.

It is not an unprimeable number, because it can be changed into a prime (133614374087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161564731 + ... + 161565557.

It is an arithmetic number, because the mean of its divisors is an integer number (1511712720).

Almost surely, 2133614374088 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 133614374088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193499228160).

133614374088 is an abundant number, since it is smaller than the sum of its proper divisors (253384082232).

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

133614374088 is a wasteful number, since it uses less digits than its factorization.

133614374088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 133614374088 in words is "one hundred thirty-three billion, six hundred fourteen million, three hundred seventy-four thousand, eighty-eight".