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17742105380 = 22519311506121
BaseRepresentation
bin10000100001100000…
…110000101100100100
31200210110220100010002
4100201200300230210
5242313434333010
612052310520432
71165444256516
oct204140605444
950713810102
1017742105380
117584a5740a
123531966118
13189998570c
14c04497bb6
156dc9151a5
hex421830b24

17742105380 has 48 divisors (see below), whose sum is σ = 40484559360. Its totient is φ = 6506438400.

The previous prime is 17742105371. The next prime is 17742105419. The reversal of 17742105380 is 8350124771.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 741281 + ... + 764840.

It is an arithmetic number, because the mean of its divisors is an integer number (843428320).

Almost surely, 217742105380 is an apocalyptic number.

17742105380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17742105380 is an abundant number, since it is smaller than the sum of its proper divisors (22742453980).

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

17742105380 is a wasteful number, since it uses less digits than its factorization.

17742105380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506180 (or 1506178 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 17742105380 in words is "seventeen billion, seven hundred forty-two million, one hundred five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5890 11780 1506121 3012242 6024484 7530605 15061210 28616299 30122420 46689751 57232598 93379502 114465196 143081495 186759004 233448755 286162990 466897510 572325980 887105269 933795020 1774210538 3548421076 4435526345 8871052690 17742105380