Search a number
-
+
132941996838 = 232719419132533
BaseRepresentation
bin111101111001111110…
…1011110001100100110
3110201010221211011120200
41323303331132030212
54134231122344323
6141023412211330
712414266220420
oct1736375361446
9421127734520
10132941996838
1151420322982
1221922009b46
13c6c855ac71
1466120d3810
1536d129b443
hex1ef3f5e326

132941996838 has 96 divisors (see below), whose sum is σ = 347345107200. Its totient is φ = 35898147648.

The previous prime is 132941996809. The next prime is 132941996893. The reversal of 132941996838 is 838699149231.

132941996838 is a `hidden beast` number, since 132 + 9 + 419 + 9 + 6 + 83 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936820 + ... + 1069352.

It is an arithmetic number, because the mean of its divisors is an integer number (3618178200).

Almost surely, 2132941996838 is an apocalyptic number.

132941996838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132941996838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173672553600).

132941996838 is an abundant number, since it is smaller than the sum of its proper divisors (214403110362).

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

132941996838 is a wasteful number, since it uses less digits than its factorization.

132941996838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132986 (or 132983 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 132941996838 in words is "one hundred thirty-two billion, nine hundred forty-one million, nine hundred ninety-six thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 419 798 838 1197 1257 2394 2514 2933 3771 5866 7542 7961 8799 15922 17598 23883 26397 47766 52794 55727 71649 111454 132533 143298 167181 265066 334362 397599 501543 795198 927731 1003086 1192797 1855462 2385594 2518127 2783193 5036254 5566386 7554381 8349579 15108762 16699158 17626889 22663143 35253778 45326286 52880667 55531327 105761334 111062654 158642001 166593981 317284002 333187962 388719289 499781943 777438578 999563886 1055095213 1166157867 2110190426 2332315734 3165285639 3498473601 6330571278 6996947202 7385666491 9495856917 14771332982 18991713834 22156999473 44313998946 66470998419 132941996838