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83152727738883 = 32113181133408637
BaseRepresentation
bin10010111010000010000000…
…110011001000101000000011
3101220102022201120022022020200
4102322002000303020220003
541344333241300121013
6452503500305340243
723341405052542245
oct2272020063105003
9356368646268220
1083152727738883
1124549968026620
1293ab680337683
1337523650baa3a
141676883612095
15992ed7470e73
hex4ba080cc8a03

83152727738883 has 48 divisors (see below), whose sum is σ = 135422047767552. Its totient is φ = 48709791288000.

The previous prime is 83152727738809. The next prime is 83152727738959. The reversal of 83152727738883 is 38883772725138.

It is a happy number.

83152727738883 is a `hidden beast` number, since 8 + 3 + 1 + 527 + 27 + 73 + 8 + 8 + 8 + 3 = 666.

It is not a de Polignac number, because 83152727738883 - 213 = 83152727730691 is a prime.

It is a super-2 number, since 2×831527277388832 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83152727738683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14215360 + ... + 19193277.

It is an arithmetic number, because the mean of its divisors is an integer number (2821292661824).

Almost surely, 283152727738883 is an apocalyptic number.

83152727738883 is a deficient number, since it is larger than the sum of its proper divisors (52269320028669).

83152727738883 is a wasteful number, since it uses less digits than its factorization.

83152727738883 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33409496 (or 33409493 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 72.

The spelling of 83152727738883 in words is "eighty-three trillion, one hundred fifty-two billion, seven hundred twenty-seven million, seven hundred thirty-eight thousand, eight hundred eighty-three".

Divisors: 1 3 9 11 31 33 93 99 279 341 811 1023 2433 3069 7299 8921 25141 26763 75423 80289 226269 276551 829653 2488959 33408637 100225911 300677733 367495007 1035667747 1102485021 3107003241 3307455063 9321009723 11392345217 27094404607 34177035651 81283213821 102531106953 243849641463 298038450677 839926542817 894115352031 2519779628451 2682346056093 7559338885353 9239191970987 27717575912961 83152727738883