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193921945104 = 24347113760693
BaseRepresentation
bin1011010010011010100…
…1100000111000010000
3200112112202100111122010
42310212221200320100
511134123004220404
6225030404142520
720003365223226
oct2644651407020
9615482314563
10193921945104
1175272978638
1231700097a40
13153960244a4
149558b94b16
15509ea6e189
hex2d26a60e10

193921945104 has 80 divisors (see below), whose sum is σ = 516152178432. Its totient is φ = 62705362944.

The previous prime is 193921945069. The next prime is 193921945117. The reversal of 193921945104 is 401549129391.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125419 + ... + 635274.

Almost surely, 2193921945104 is an apocalyptic number.

It is an amenable number.

193921945104 is an abundant number, since it is smaller than the sum of its proper divisors (322230233328).

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

193921945104 is a wasteful number, since it uses less digits than its factorization.

193921945104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760864 (or 760858 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 193921945104 in words is "one hundred ninety-three billion, nine hundred twenty-one million, nine hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 113 141 188 226 282 339 376 452 564 678 752 904 1128 1356 1808 2256 2712 5311 5424 10622 15933 21244 31866 42488 63732 84976 127464 254928 760693 1521386 2282079 3042772 4564158 6085544 9128316 12171088 18256632 35752571 36513264 71505142 85958309 107257713 143010284 171916618 214515426 257874927 286020568 343833236 429030852 515749854 572041136 687666472 858061704 1031499708 1375332944 1716123408 2062999416 4040040523 4125998832 8080081046 12120121569 16160162092 24240243138 32320324184 48480486276 64640648368 96960972552 193921945104