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106039513536 = 2631132318041
BaseRepresentation
bin110001011000001110…
…0101001000111000000
3101010201002001102022020
41202300130221013000
53214132103413121
6120414110441440
710442520664455
oct1426034510700
9333632042266
10106039513536
1140a755a5000
1218674503280
139ccbb317a8
1451bd1d782c
152b5957a1c6
hex18b07291c0

106039513536 has 224 divisors, whose sum is σ = 322033245696. Its totient is φ = 30734387200.

The previous prime is 106039513511. The next prime is 106039513603. The reversal of 106039513536 is 635315930601.

It is a super-2 number, since 2×1060395135362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5868676 + ... + 5886716.

Almost surely, 2106039513536 is an apocalyptic number.

106039513536 is a gapful number since it is divisible by the number (16) 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 106039513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161016622848).

106039513536 is an abundant number, since it is smaller than the sum of its proper divisors (215993732160).

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

106039513536 is a wasteful number, since it uses less digits than its factorization.

106039513536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18112 (or 18080 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 42.

The spelling of 106039513536 in words is "one hundred six billion, thirty-nine million, five hundred thirteen thousand, five hundred thirty-six".