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107885220564 = 223113740015521
BaseRepresentation
bin110010001111001110…
…1011101001011010100
3101022110201002001100210
41210132131131023110
53231422104024224
6121321202405420
710536332146512
oct1443635351324
9338421061323
10107885220564
1141832438010
1218aaa660870
13a234335c24
1453163ab4b2
152c16611429
hex191e75d2d4

107885220564 has 96 divisors (see below), whose sum is σ = 282160593792. Its totient is φ = 31795200000.

The previous prime is 107885220539. The next prime is 107885220571. The reversal of 107885220564 is 465022588701.

It is a super-2 number, since 2×1078852205642 (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, 19538124 + ... + 19543644.

It is an arithmetic number, because the mean of its divisors is an integer number (2939172852).

Almost surely, 2107885220564 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 107885220564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141080296896).

107885220564 is an abundant number, since it is smaller than the sum of its proper divisors (174275373228).

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

107885220564 is a wasteful number, since it uses less digits than its factorization.

107885220564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 107885220564 in words is "one hundred seven billion, eight hundred eighty-five million, two hundred twenty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4001 4884 5521 8002 11042 12003 16004 16563 22084 24006 33126 44011 48012 60731 66252 88022 121462 132033 148037 176044 182193 204277 242924 264066 296074 364386 408554 444111 528132 592148 612831 728772 817108 888222 1225662 1628407 1776444 2247047 2451324 3256814 4494094 4885221 6513628 6741141 8988188 9770442 13482282 19540884 22089521 26964564 44179042 66268563 88358084 132537126 242984731 265074252 485969462 728954193 817312277 971938924 1457908386 1634624554 2451936831 2915816772 3269249108 4903873662 8990435047 9807747324 17980870094 26971305141 35961740188 53942610282 107885220564