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133023151164640 = 2551175581335889
BaseRepresentation
bin11110001111101111011101…
…101011000000110011100000
3122102222220000010021120201011
4132033233131223000303200
5114413422403144232030
61150525554135150304
740006414456465432
oct3617573553006340
9572886003246634
10133023151164640
113942688aa20620
1212b04940215394
13592c04c590279
1424bc4d7a92652
15105a38650bb2a
hex78fbddac0ce0

133023151164640 has 48 divisors (see below), whose sum is σ = 342836939597040. Its totient is φ = 48372054968320.

The previous prime is 133023151164581. The next prime is 133023151164641. The reversal of 133023151164640 is 46461151320331.

It is a super-4 number, since 4×1330231511646404 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 133023151164593 and 133023151164602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133023151164641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37790666185 + ... + 37790669704.

It is an arithmetic number, because the mean of its divisors is an integer number (7142436241605).

Almost surely, 2133023151164640 is an apocalyptic number.

133023151164640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133023151164640 is an abundant number, since it is smaller than the sum of its proper divisors (209813788432400).

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

133023151164640 is a wasteful number, since it uses less digits than its factorization.

133023151164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75581335915 (or 75581335907 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 133023151164640 in words is "one hundred thirty-three trillion, twenty-three billion, one hundred fifty-one million, one hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 75581335889 151162671778 302325343556 377906679445 604650687112 755813358890 831394694779 1209301374224 1511626717780 1662789389558 2418602748448 3023253435560 3325578779116 4156973473895 6046506871120 6651157558232 8313946947790 12093013742240 13302315116464 16627893895580 26604630232928 33255787791160 66511575582320 133023151164640