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17930701840 = 245892518357
BaseRepresentation
bin10000101100110000…
…001100110000010000
31201021121210000211011
4100230300030300100
5243210224424330
612123125100304
71203224310442
oct205460146020
951247700734
1017930701840
117671460757
123584b57694
1318c9a7935c
14c2154c492
156ee26a82a
hex42cc0cc10

17930701840 has 40 divisors (see below), whose sum is σ = 42157312920. Its totient is φ = 7091690496.

The previous prime is 17930701807. The next prime is 17930701843. The reversal of 17930701840 is 4810703971.

It can be written as a sum of positive squares in 4 ways, for example, as 184199184 + 17746502656 = 13572^2 + 133216^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 17930701793 and 17930701802.

It is not an unprimeable number, because it can be changed into a prime (17930701843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252059 + ... + 1266298.

It is an arithmetic number, because the mean of its divisors is an integer number (1053932823).

Almost surely, 217930701840 is an apocalyptic number.

17930701840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17930701840 is an abundant number, since it is smaller than the sum of its proper divisors (24226611080).

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

17930701840 is a wasteful number, since it uses less digits than its factorization.

17930701840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518459 (or 2518453 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 17930701840 in words is "seventeen billion, nine hundred thirty million, seven hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 2518357 5036714 10073428 12591785 20146856 25183570 40293712 50367140 100734280 201468560 224133773 448267546 896535092 1120668865 1793070184 2241337730 3586140368 4482675460 8965350920 17930701840