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133016796224 = 26131496831571
BaseRepresentation
bin111101111100001101…
…0110011110001000000
3110201100011120101001022
41323320122303301000
54134404244434344
6141035043325012
712416165053424
oct1737032636100
9421304511038
10133016796224
1151459571854
1221943080768
13c70abba160
14661c004b84
1536d7b240ee
hex1ef86b3c40

133016796224 has 112 divisors (see below), whose sum is σ = 286768641600. Its totient is φ = 60852295680.

The previous prime is 133016796217. The next prime is 133016796277. The reversal of 133016796224 is 422697610331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84669359 + ... + 84670929.

It is an arithmetic number, because the mean of its divisors is an integer number (2560434300).

Almost surely, 2133016796224 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 133016796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143384320800).

133016796224 is an abundant number, since it is smaller than the sum of its proper divisors (153751845376).

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

133016796224 is a wasteful number, since it uses less digits than its factorization.

133016796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 133016796224 in words is "one hundred thirty-three billion, sixteen million, seven hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 149 208 298 416 596 683 832 1192 1366 1571 1937 2384 2732 3142 3874 4768 5464 6284 7748 8879 9536 10928 12568 15496 17758 20423 21856 25136 30992 35516 40846 43712 50272 61984 71032 81692 100544 101767 123968 142064 163384 203534 234079 284128 326768 407068 468158 568256 653536 814136 936316 1072993 1307072 1322971 1628272 1872632 2145986 2645942 3043027 3256544 3745264 4291972 5291884 6086054 6513088 7490528 8583944 10583768 12172108 13948909 14981056 17167888 21167536 24344216 27897818 34335776 42335072 48688432 55795636 68671552 84670144 97376864 111591272 159875957 194753728 223182544 319751914 446365088 639503828 892730176 1279007656 2078387441 2558015312 4156774882 5116030624 8313549764 10232061248 16627099528 33254199056 66508398112 133016796224