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258840493240 = 235712726832713
BaseRepresentation
bin1111000100010000011…
…0000111110010111000
3220202010001001102222211
43301010012013302320
513220101131240430
6314524254024504
724462210614350
oct3610406076270
9822101042884
10258840493240
119a85678a70a
12421b91a8134
131b540792094
14c756985b60
156aeded972a
hex3c44187cb8

258840493240 has 128 divisors (see below), whose sum is σ = 671328092160. Its totient is φ = 87981272064.

The previous prime is 258840493231. The next prime is 258840493267. The reversal of 258840493240 is 42394048852.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 95406124 + ... + 95408836.

It is an arithmetic number, because the mean of its divisors is an integer number (5244750720).

Almost surely, 2258840493240 is an apocalyptic number.

258840493240 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 258840493240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335664046080).

258840493240 is an abundant number, since it is smaller than the sum of its proper divisors (412487598920).

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

258840493240 is a wasteful number, since it uses less digits than its factorization.

258840493240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 258840493240 in words is "two hundred fifty-eight billion, eight hundred forty million, four hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1778 2540 2683 2713 3556 4445 5080 5366 5426 7112 8890 10732 10852 13415 13565 17780 18781 18991 21464 21704 26830 27130 35560 37562 37982 53660 54260 75124 75964 93905 94955 107320 108520 150248 151928 187810 189910 340741 344551 375620 379820 681482 689102 751240 759640 1362964 1378204 1703705 1722755 2385187 2411857 2725928 2756408 3407410 3445510 4770374 4823714 6814820 6891020 7278979 9540748 9647428 11925935 12059285 13629640 13782040 14557958 19081496 19294856 23851870 24118570 29115916 36394895 47703740 48237140 50952853 58231832 72789790 95407480 96474280 101905706 145579580 203811412 254764265 291159160 407622824 509528530 924430333 1019057060 1848860666 2038114120 3697721332 4622151665 6471012331 7395442664 9244303330 12942024662 18488606660 25884049324 32355061655 36977213320 51768098648 64710123310 129420246620 258840493240