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42193976080 = 2451573359393
BaseRepresentation
bin100111010010111101…
…001111101100010000
311000220120102001212211
4213102331033230100
51142403124213310
631214511201504
73022414610344
oct472275175420
9130816361784
1042193976080
1116992443813
128216816294
133c95785069
142083b1b624
15116e413c8a
hex9d2f4fb10

42193976080 has 40 divisors (see below), whose sum is σ = 98725870872. Its totient is φ = 16770084864.

The previous prime is 42193976053. The next prime is 42193976113. The reversal of 42193976080 is 8067939124.

It can be written as a sum of positive squares in 4 ways, for example, as 82011136 + 42111964944 = 9056^2 + 205212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×421939760802 (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1667137 + ... + 1692256.

Almost surely, 242193976080 is an apocalyptic number.

42193976080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42193976080 is an abundant number, since it is smaller than the sum of its proper divisors (56531894792).

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

42193976080 is a wasteful number, since it uses less digits than its factorization.

42193976080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359563 (or 3359557 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 42193976080 in words is "forty-two billion, one hundred ninety-three million, nine hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 3359393 6718786 13437572 16796965 26875144 33593930 53750288 67187860 134375720 268751440 527424701 1054849402 2109698804 2637123505 4219397608 5274247010 8438795216 10548494020 21096988040 42193976080