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253461337640 = 23572129317009
BaseRepresentation
bin1110110000001101111…
…0010001011000101000
3220020020011020000201122
43230003132101120220
513123042100301030
6312234420034412
724212002552100
oct3540336213050
9806204200648
10253461337640
1198546354475
1241157832a08
131ab9420c784
14c3a63c8200
1568d6b3a8e5
hex3b03791628

253461337640 has 48 divisors (see below), whose sum is σ = 663396261300. Its totient is φ = 86901029376.

The previous prime is 253461337607. The next prime is 253461337697. The reversal of 253461337640 is 46733164352.

It can be written as a sum of positive squares in 2 ways, for example, as 253437737476 + 23600164 = 503426^2 + 4858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253461337591 and 253461337600.

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 11 ways as a sum of consecutive naturals, for example, 64656545 + ... + 64660464.

Almost surely, 2253461337640 is an apocalyptic number.

253461337640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253461337640 is an abundant number, since it is smaller than the sum of its proper divisors (409934923660).

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

253461337640 is a wasteful number, since it uses less digits than its factorization.

253461337640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129317034 (or 129317023 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 44.

The spelling of 253461337640 in words is "two hundred fifty-three billion, four hundred sixty-one million, three hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 129317009 258634018 517268036 646585045 905219063 1034536072 1293170090 1810438126 2586340180 3620876252 4526095315 5172680360 6336533441 7241752504 9052190630 12673066882 18104381260 25346133764 31682667205 36208762520 50692267528 63365334410 126730668820 253461337640