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106520330424464 = 24113346118087599
BaseRepresentation
bin11000001110000100110010…
…011101001101000010010000
3111222011020120222100100211022
4120032010302131031002100
5102430212114042040324
61014314433024335012
731302561042243455
oct3016046235150220
9458136528310738
10106520330424464
1130a390225aa910
12bb4442b174468
134758a935bc468
141c4387bd5d82c
15c4ac8912505e
hex60e13274d090

106520330424464 has 40 divisors (see below), whose sum is σ = 225151984886400. Its totient is φ = 48416882326400.

The previous prime is 106520330424413. The next prime is 106520330424481. The reversal of 106520330424464 is 464424033025601.

It is a happy number.

It is a super-2 number, since 2×1065203304244642 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3154664 + ... + 14932935.

It is an arithmetic number, because the mean of its divisors is an integer number (5628799622160).

Almost surely, 2106520330424464 is an apocalyptic number.

It is an amenable number.

106520330424464 is an abundant number, since it is smaller than the sum of its proper divisors (118631654461936).

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

106520330424464 is a wasteful number, since it uses less digits than its factorization.

106520330424464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18121079 (or 18121073 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 44.

The spelling of 106520330424464 in words is "one hundred six trillion, five hundred twenty billion, three hundred thirty million, four hundred twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 33461 66922 133844 267688 368071 535376 736142 1472284 2944568 5889136 18087599 36175198 72350396 144700792 198963589 289401584 397927178 795854356 1591708712 3183417424 605229150139 1210458300278 2420916600556 4841833201112 6657520651529 9683666402224 13315041303058 26630082606116 53260165212232 106520330424464