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42892605480 = 23351721236811
BaseRepresentation
bin100111111100100110…
…010011100000101000
311002201021000010020210
4213330212103200220
51200321001333410
631412105221120
73045630062634
oct477446234050
9132637003223
1042892605480
111721083738a
1283907917a0
13407743463a
14210c819dc4
1511b0915220
hex9fc993828

42892605480 has 96 divisors (see below), whose sum is σ = 136692462240. Its totient is φ = 10765194240.

The previous prime is 42892605451. The next prime is 42892605499. The reversal of 42892605480 is 8450629824.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583726 + ... + 653085.

It is an arithmetic number, because the mean of its divisors is an integer number (1423879815).

Almost surely, 242892605480 is an apocalyptic number.

42892605480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42892605480 is an abundant number, since it is smaller than the sum of its proper divisors (93799856760).

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

42892605480 is a wasteful number, since it uses less digits than its factorization.

42892605480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236859 (or 1236838 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 42892605480 in words is "forty-two billion, eight hundred ninety-two million, six hundred five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 17340 34680 1236811 2473622 3710433 4947244 6184055 7420866 9894488 12368110 14841732 18552165 21025787 24736220 29683464 37104330 42051574 49472440 63077361 74208660 84103148 105128935 126154722 148417320 168206296 210257870 252309444 315386805 357438379 420515740 504618888 630773610 714876758 841031480 1072315137 1261547220 1429753516 1787191895 2144630274 2523094440 2859507032 3574383790 4289260548 5361575685 7148767580 8578521096 10723151370 14297535160 21446302740 42892605480