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190440097668 = 223247920295443
BaseRepresentation
bin1011000101011100011…
…1010100011110000100
3200012120002122022212200
42301113013110132010
511110010131111133
6223253104114500
716521166056432
oct2612707243604
9605502568780
10190440097668
117384651a077
1230aaa005a30
1314c5c872432
14930859dd52
154e4904a913
hex2c571d4784

190440097668 has 72 divisors (see below), whose sum is σ = 482721657600. Its totient is φ = 63304652736.

The previous prime is 190440097607. The next prime is 190440097693. The reversal of 190440097668 is 866790044091.

190440097668 is a `hidden beast` number, since 1 + 90 + 4 + 400 + 97 + 6 + 68 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 34985355 + ... + 34990797.

Almost surely, 2190440097668 is an apocalyptic number.

190440097668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

190440097668 is an abundant number, since it is smaller than the sum of its proper divisors (292281559932).

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

190440097668 is a wasteful number, since it uses less digits than its factorization.

190440097668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 190440097668 in words is "one hundred ninety billion, four hundred forty million, ninety-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 479 958 1437 1916 2029 2874 4058 4311 5443 5748 6087 8116 8622 10886 12174 16329 17244 18261 21772 24348 32658 36522 48987 65316 73044 97974 195948 971891 1943782 2607197 2915673 3887564 5214394 5831346 7821591 8747019 10428788 11043847 11662692 15643182 17494038 22087694 23464773 31286364 33131541 34988076 44175388 46929546 66263082 93859092 99394623 132526164 198789246 397578492 5290002713 10580005426 15870008139 21160010852 31740016278 47610024417 63480032556 95220048834 190440097668