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293252874980 = 2251361145112743
BaseRepresentation
bin1000100010001110011…
…10111100001011100100
31001000221022000120012212
410101013032330023210
514301040213444410
6342415110502552
730121036211042
oct4210716741344
91030838016185
10293252874980
1110340566a41a
1248a01964a58
1321866033b40
141029d00d392
157965195b05
hex44473bc2e4

293252874980 has 96 divisors (see below), whose sum is σ = 674592323328. Its totient is φ = 106421184000.

The previous prime is 293252874881. The next prime is 293252874997. The reversal of 293252874980 is 89478252392.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23006489 + ... + 23019231.

It is an arithmetic number, because the mean of its divisors is an integer number (7027003368).

Almost surely, 2293252874980 is an apocalyptic number.

293252874980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293252874980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337296161664).

293252874980 is an abundant number, since it is smaller than the sum of its proper divisors (381339448348).

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

293252874980 is a wasteful number, since it uses less digits than its factorization.

293252874980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14277 (or 14275 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 293252874980 in words is "two hundred ninety-three billion, two hundred fifty-two million, eight hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1451 1586 2902 3172 3965 5804 7255 7930 12743 14510 15860 18863 25486 29020 37726 50972 63715 75452 88511 94315 127430 165659 177022 188630 254860 331318 354044 377260 442555 662636 777323 828295 885110 1150643 1554646 1656590 1770220 2301286 3109292 3313180 3886615 4602572 5753215 7773230 10105199 11506430 15546460 18490093 20210398 23012860 36980186 40420796 50525995 73960372 92450465 101051990 184900930 202103980 240371209 369801860 480742418 961484836 1127895673 1201856045 2255791346 2403712090 4511582692 4807424180 5639478365 11278956730 14662643749 22557913460 29325287498 58650574996 73313218745 146626437490 293252874980