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106994802528 = 2534231794733
BaseRepresentation
bin110001110100101100…
…0110001111101100000
3101020011122121010110000
41203221120301331200
53223111132140103
6121052553540000
710505300546535
oct1435130617540
9336148533400
10106994802528
114141585a839
12188a0414600
13a121a15a53
145270026d8c
152bb3378aa3
hex18e9631f60

106994802528 has 120 divisors (see below), whose sum is σ = 328350174768. Its totient is φ = 34114265856.

The previous prime is 106994802493. The next prime is 106994802529. The reversal of 106994802528 is 825208499601.

It is a happy number.

106994802528 is a `hidden beast` number, since 10 + 69 + 9 + 48 + 0 + 2 + 528 = 666.

It is a super-2 number, since 2×1069948025282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106994802529) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 837751 + ... + 956982.

Almost surely, 2106994802528 is an apocalyptic number.

106994802528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106994802528 is an abundant number, since it is smaller than the sum of its proper divisors (221355372240).

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

106994802528 is a wasteful number, since it uses less digits than its factorization.

106994802528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794778 (or 1794761 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 106994802528 in words is "one hundred six billion, nine hundred ninety-four million, eight hundred two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 59616 1794733 3589466 5384199 7178932 10768398 14357864 16152597 21536796 28715728 32305194 41278859 43073592 48457791 57431456 64610388 82557718 86147184 96915582 123836577 129220776 145373373 165115436 172294368 193831164 247673154 258441552 290746746 330230872 371509731 387662328 495346308 516883104 581493492 660461744 743019462 775324656 990692616 1114529193 1162986984 1320923488 1486038924 1550649312 1981385232 2229058386 2325973968 2972077848 3343587579 3962770464 4458116772 4651947936 5944155696 6687175158 8916233544 11888311392 13374350316 17832467088 26748700632 35664934176 53497401264 106994802528