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133406106008 = 23722919161441
BaseRepresentation
bin111110000111110011…
…1111010000110011000
3110202100022010100200012
41330033213322012120
54141203430343013
6141141431501052
712431633122400
oct1741747720630
9422308110605
10133406106008
11516392a5a7a
1221a31527788
13c770757986
1466579c5800
15370bdc51a8
hex1f0f9fa198

133406106008 has 96 divisors (see below), whose sum is σ = 302589561600. Its totient is φ = 54912614400.

The previous prime is 133406105977. The next prime is 133406106047. The reversal of 133406106008 is 800601604331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2140568 + ... + 2202008.

It is an arithmetic number, because the mean of its divisors is an integer number (3151974600).

Almost surely, 2133406106008 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 133406106008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151294780800).

133406106008 is an abundant number, since it is smaller than the sum of its proper divisors (169183455592).

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

133406106008 is a wasteful number, since it uses less digits than its factorization.

133406106008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61681 (or 61670 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 133406106008 in words is "one hundred thirty-three billion, four hundred six million, one hundred six thousand, eight".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 191 196 203 232 382 392 406 764 812 1337 1421 1528 1624 2674 2842 5348 5539 5684 9359 10696 11078 11368 18718 22156 37436 38773 44312 61441 74872 77546 122882 155092 245764 271411 310184 430087 491528 542822 860174 1085644 1720348 1781789 2171288 3010609 3440696 3563578 6021218 7127156 11735231 12042436 12472523 14254312 23470462 24084872 24945046 46940924 49890092 82146617 87307661 93881848 99780184 164293234 174615322 328586468 340321699 349230644 575026319 657172936 680643398 698461288 1150052638 1361286796 2300105276 2382251893 2722573592 4600210552 4764503786 9529007572 16675763251 19058015144 33351526502 66703053004 133406106008