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100293368688 = 24321936656933
BaseRepresentation
bin101110101100111110…
…0110101101101110000
3100120212121200000102200
41131121330311231300
53120400100244223
6114024002543200
710150235365542
oct1353174655560
9316777600380
10100293368688
1139596aa0367
1217530067b00
1395c4528096
144bd5dc9692
15291ed88a43
hex1759f35b70

100293368688 has 60 divisors (see below), whose sum is σ = 295454888040. Its totient is φ = 31671589248.

The previous prime is 100293368677. The next prime is 100293368701. The reversal of 100293368688 is 886863392001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18325731 + ... + 18331202.

It is an arithmetic number, because the mean of its divisors is an integer number (4924248134).

Almost surely, 2100293368688 is an apocalyptic number.

100293368688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100293368688 is an abundant number, since it is smaller than the sum of its proper divisors (195161519352).

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

100293368688 is a wasteful number, since it uses less digits than its factorization.

100293368688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36656966 (or 36656957 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 100293368688 in words is "one hundred billion, two hundred ninety-three million, three hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 36656933 73313866 109970799 146627732 219941598 293255464 329912397 439883196 586510928 659824794 696481727 879766392 1319649588 1392963454 1759532784 2089445181 2639299176 2785926908 4178890362 5278598352 5571853816 6268335543 8357780724 11143707632 12536671086 16715561448 25073342172 33431122896 50146684344 100293368688