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257350146940 = 22583401386609
BaseRepresentation
bin1110111110101101000…
…0111001101101111100
3220121021011201000012201
43233223100321231330
513204023114200230
6314120334441244
724410243104405
oct3575320715574
9817234630181
10257350146940
119a1614a3457
1241a62063224
131b363a9cb73
14c654a769ac
156a6324a5ca
hex3beb439b7c

257350146940 has 48 divisors (see below), whose sum is σ = 548311952160. Its totient is φ = 101445939200.

The previous prime is 257350146869. The next prime is 257350146941. The reversal of 257350146940 is 49641053752.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257350146941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472356 + ... + 858964.

It is an arithmetic number, because the mean of its divisors is an integer number (11423165670).

Almost surely, 2257350146940 is an apocalyptic number.

257350146940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257350146940 is an abundant number, since it is smaller than the sum of its proper divisors (290961805220).

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

257350146940 is a wasteful number, since it uses less digits than its factorization.

257350146940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387102 (or 387100 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 257350146940 in words is "two hundred fifty-seven billion, three hundred fifty million, one hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 83 166 332 401 415 802 830 1604 1660 2005 4010 8020 33283 66566 133132 166415 332830 386609 665660 773218 1546436 1933045 3866090 7732180 32088547 64177094 128354188 155030209 160442735 310060418 320885470 620120836 641770940 775151045 1550302090 3100604180 12867507347 25735014694 51470029388 64337536735 128675073470 257350146940