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133826824704 = 293132765657
BaseRepresentation
bin111110010100010110…
…0110100101000000000
3110210102121210002020010
41330220230310220000
54143034131342304
6141251301144520
712445232145456
oct1745054645000
9423377702203
10133826824704
1151834832181
1221b2a3bb140
13c809971851
1466978209d6
153733ccc789
hex1f28b34a00

133826824704 has 80 divisors (see below), whose sum is σ = 356797127808. Its totient is φ = 44574646272.

The previous prime is 133826824699. The next prime is 133826824721. The reversal of 133826824704 is 407428628331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2005444 + ... + 2071100.

Almost surely, 2133826824704 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 133826824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178398563904).

133826824704 is an abundant number, since it is smaller than the sum of its proper divisors (222970303104).

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

133826824704 is an equidigital number, since it uses as much as digits as its factorization.

133826824704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67005 (or 66989 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 133826824704 in words is "one hundred thirty-three billion, eight hundred twenty-six million, eight hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1327 1536 2654 3981 5308 7962 10616 15924 21232 31848 42464 63696 65657 84928 127392 131314 169856 196971 254784 262628 339712 393942 509568 525256 679424 787884 1019136 1050512 1575768 2038272 2101024 3151536 4202048 6303072 8404096 12606144 16808192 25212288 33616384 50424576 87126839 100849152 174253678 261380517 348507356 522761034 697014712 1045522068 1394029424 2091044136 2788058848 4182088272 5576117696 8364176544 11152235392 16728353088 22304470784 33456706176 44608941568 66913412352 133826824704