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133291856352 = 25379127138389
BaseRepresentation
bin111110000100011010…
…0000101000111100000
3110202001100010212121110
41330020310011013200
54140440203400402
6141122231023320
712426045041124
oct1741064050740
9422040125543
10133291856352
115158a861576
12219bb20ab40
13c752b95225
146646765584
153701d5856c
hex1f08d051e0

133291856352 has 96 divisors (see below), whose sum is σ = 357112627200. Its totient is φ = 43522472448.

The previous prime is 133291856329. The next prime is 133291856377. The reversal of 133291856352 is 253658192331.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893974 + ... + 1032362.

It is an arithmetic number, because the mean of its divisors is an integer number (3719923200).

Almost surely, 2133291856352 is an apocalyptic number.

133291856352 is a gapful number since it is divisible by the number (12) 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 133291856352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178556313600).

133291856352 is an abundant number, since it is smaller than the sum of its proper divisors (223820770848).

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

133291856352 is a wasteful number, since it uses less digits than its factorization.

133291856352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138608 (or 138600 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

It can be divided in two parts, 13329 and 1856352, that added together give a palindrome (1869681).

The spelling of 133291856352 in words is "one hundred thirty-three billion, two hundred ninety-one million, eight hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 127 158 237 254 316 381 474 508 632 762 948 1016 1264 1524 1896 2032 2528 3048 3792 4064 6096 7584 10033 12192 20066 30099 40132 60198 80264 120396 138389 160528 240792 276778 321056 415167 481584 553556 830334 963168 1107112 1660668 2214224 3321336 4428448 6642672 10932731 13285344 17575403 21865462 32798193 35150806 43730924 52726209 65596386 70301612 87461848 105452418 131192772 140603224 174923696 210904836 262385544 281206448 349847392 421809672 524771088 562412896 843619344 1049542176 1388456837 1687238688 2776913674 4165370511 5553827348 8330741022 11107654696 16661482044 22215309392 33322964088 44430618784 66645928176 133291856352