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193666157040 = 2435978318993
BaseRepresentation
bin1011010001011101100…
…1110000100111110000
3200111212221001010101010
42310113121300213300
511133112014011130
6224545145510520
716664141113356
oct2642731604760
9614787033333
10193666157040
1175151551244
123164a4a2440
13153550363c5
149532c0d7d6
1550873950b0
hex2d176709f0

193666157040 has 80 divisors (see below), whose sum is σ = 606554490528. Its totient is φ = 51111886848.

The previous prime is 193666157033. The next prime is 193666157053. The reversal of 193666157040 is 40751666391.

193666157040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4136217 + ... + 4182776.

Almost surely, 2193666157040 is an apocalyptic number.

193666157040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193666157040 is an abundant number, since it is smaller than the sum of its proper divisors (412888333488).

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

193666157040 is a wasteful number, since it uses less digits than its factorization.

193666157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319106 (or 8319100 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 193666157040 in words is "one hundred ninety-three billion, six hundred sixty-six million, one hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 23280 8318993 16637986 24956979 33275972 41594965 49913958 66551944 83189930 99827916 124784895 133103888 166379860 199655832 249569790 332759720 399311664 499139580 665519440 806942321 998279160 1613884642 1996558320 2420826963 3227769284 4034711605 4841653926 6455538568 8069423210 9683307852 12104134815 12911077136 16138846420 19366615704 24208269630 32277692840 38733231408 48416539260 64555385680 96833078520 193666157040