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106978505958522 = 232111329140651229
BaseRepresentation
bin11000010100101111011111…
…110110001010010001111010
3112000210001020000110001210200
4120110233133312022101322
5103010213440011133042
61015305125220223030
731350641051105502
oct3024573766122172
9460701200401720
10106978505958522
11310a5369764a80
12bbb919923aa76
1347900506ac823
141c5bb04570a02
15c57b52ed3c4c
hex614bdfd8a47a

106978505958522 has 48 divisors (see below), whose sum is σ = 252877317806880. Its totient is φ = 32415289207200.

The previous prime is 106978505958517. The next prime is 106978505958539. The reversal of 106978505958522 is 225859505879601.

106978505958522 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 7 + 8 + 5 + 0 + 5 + 95 + 8 + 522 = 666.

It is a super-2 number, since 2×1069785059585222 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17693997 + ... + 22957232.

It is an arithmetic number, because the mean of its divisors is an integer number (5268277454310).

Almost surely, 2106978505958522 is an apocalyptic number.

106978505958522 is an abundant number, since it is smaller than the sum of its proper divisors (145898811848358).

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

106978505958522 is a wasteful number, since it uses less digits than its factorization.

106978505958522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40664539 (or 40664536 counting only the distinct ones).

The product of its (nonzero) digits is 544320000, while the sum is 72.

The spelling of 106978505958522 in words is "one hundred six trillion, nine hundred seventy-eight billion, five hundred five million, nine hundred fifty-eight thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 13291 26582 39873 79746 119619 146201 239238 292402 438603 877206 1315809 2631618 40651229 81302458 121953687 243907374 365861061 447163519 731722122 894327038 1341490557 2682981114 4024471671 8048943342 540295484639 1080590969278 1620886453917 3241772907834 4862659361751 5943250331029 9725318723502 11886500662058 17829750993087 35659501986174 53489252979261 106978505958522