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107386204432 = 24132199199567
BaseRepresentation
bin110010000000010110…
…1110111000100010000
3101021011221002101220211
41210000231313010100
53224411332020212
6121155455013504
710521062451133
oct1440055670420
9337157071824
10107386204432
11415a6792891
121898b50a294
13a184b36900
1452a9dd021a
152bd78de9a7
hex1900b77110

107386204432 has 60 divisors (see below), whose sum is σ = 226429852800. Its totient is φ = 49313556864.

The previous prime is 107386204423. The next prime is 107386204433. The reversal of 107386204432 is 234402683701.

It is a happy number.

It is a super-2 number, since 2×1073862044322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107386204433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438313 + ... + 637879.

It is an arithmetic number, because the mean of its divisors is an integer number (3773830880).

Almost surely, 2107386204432 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 107386204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113214926400).

107386204432 is an abundant number, since it is smaller than the sum of its proper divisors (119043648368).

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

107386204432 is a wasteful number, since it uses less digits than its factorization.

107386204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199800 (or 199781 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 107386204432 in words is "one hundred seven billion, three hundred eighty-six million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 199 208 338 398 676 796 1352 1592 2587 2704 3184 5174 10348 20696 33631 41392 67262 134524 199567 269048 399134 538096 798268 1596536 2594371 3193072 5188742 10377484 20754968 33726823 39713833 41509936 67453646 79427666 134907292 158855332 269814584 317710664 516279829 539629168 635421328 1032559658 2065119316 4130238632 6711637777 8260477264 13423275554 26846551108 53693102216 107386204432