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164135020740 = 223517311517417
BaseRepresentation
bin1001100011011100110…
…1011010100011000100
3120200122211222222002020
42120313031122203010
510142122031130430
6203222543043140
714600263441155
oct2306715324304
9520584888066
10164135020740
1163677a38479
12279885a04b0
1312629b44162
147d30b7392c
1544099d3b10
hex263735a8c4

164135020740 has 96 divisors (see below), whose sum is σ = 488177673984. Its totient is φ = 41062133760.

The previous prime is 164135020661. The next prime is 164135020747. The reversal of 164135020740 is 47020531461.

It is not an unprimeable number, because it can be changed into a prime (164135020747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58512 + ... + 575928.

It is an arithmetic number, because the mean of its divisors is an integer number (5085184104).

Almost surely, 2164135020740 is an apocalyptic number.

164135020740 is a gapful number since it is divisible by the number (10) 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 164135020740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244088836992).

164135020740 is an abundant number, since it is smaller than the sum of its proper divisors (324042653244).

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

164135020740 is a wasteful number, since it uses less digits than its factorization.

164135020740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517757 (or 517755 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 164135020740 in words is "one hundred sixty-four billion, one hundred thirty-five million, twenty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 311 340 510 622 933 1020 1244 1555 1866 3110 3732 4665 5287 6220 9330 10574 15861 18660 21148 26435 31722 52870 63444 79305 105740 158610 317220 517417 1034834 1552251 2069668 2587085 3104502 5174170 6209004 7761255 8796089 10348340 15522510 17592178 26388267 31045020 35184356 43980445 52776534 87960890 105553068 131941335 160916687 175921780 263882670 321833374 482750061 527765340 643666748 804583435 965500122 1609166870 1931000244 2413750305 2735583679 3218333740 4827500610 5471167358 8206751037 9655001220 10942334716 13677918395 16413502074 27355836790 32827004148 41033755185 54711673580 82067510370 164135020740