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193739113932 = 2237213234710799
BaseRepresentation
bin1011010001101111000…
…0000100010111001100
3200112002000022201102020
42310123300010113030
511133234203121212
6225000313330140
716666015203600
oct2643360042714
9615060281366
10193739113932
11751897518a1
123166aa06950
131536719ba70
14953c7a1500
15508d9a6d8c
hex2d1bc045cc

193739113932 has 144 divisors (see below), whose sum is σ = 566608089600. Its totient is φ = 51069529728.

The previous prime is 193739113921. The next prime is 193739113933. The reversal of 193739113932 is 239311937391.

It is not an unprimeable number, because it can be changed into a prime (193739113933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17935069 + ... + 17945867.

It is an arithmetic number, because the mean of its divisors is an integer number (3934778400).

Almost surely, 2193739113932 is an apocalyptic number.

193739113932 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 193739113932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283304044800).

193739113932 is an abundant number, since it is smaller than the sum of its proper divisors (372868975668).

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

193739113932 is a wasteful number, since it uses less digits than its factorization.

193739113932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13180 (or 13171 counting only the distinct ones).

The product of its digits is 826686, while the sum is 51.

The spelling of 193739113932 in words is "one hundred ninety-three billion, seven hundred thirty-nine million, one hundred thirteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2347 2548 3822 4694 7041 7644 9388 10799 14082 16429 21598 28164 30511 32397 32858 43196 49287 61022 64794 65716 75593 91533 98574 115003 122044 129588 140387 151186 183066 197148 213577 226779 230006 280774 302372 345009 366132 421161 427154 453558 460012 529151 561548 640731 690018 842322 854308 907116 982709 1058302 1281462 1380036 1495039 1587453 1684644 1965418 2116604 2562924 2948127 2990078 3174906 3930836 4485117 5896254 5980156 6349812 6878963 8970234 11792508 13757926 17940468 20636889 25345253 27515852 41273778 50690506 76035759 82547556 101381012 152071518 177416771 304143036 329488289 354833542 532250313 658976578 709667084 988464867 1064500626 1241917397 1317953156 1976929734 2129001252 2306418023 2483834794 3725752191 3953859468 4612836046 4967669588 6919254069 7451504382 9225672092 13838508138 14903008764 16144926161 27677016276 32289852322 48434778483 64579704644 96869556966 193739113932