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256398454032 = 24373147523741
BaseRepresentation
bin1110111011001010001…
…0011110110100010000
3220111210211220222222020
43232302202132310100
513200101001012112
6313442100411440
724344535620460
oct3566242366420
9814724828866
10256398454032
1199813274496
12418373a6b80
131b241877676
14c5a4501ba0
156a0990c48c
hex3bb289ed10

256398454032 has 160 divisors (see below), whose sum is σ = 798031970304. Its totient is φ = 69385075200.

The previous prime is 256398454019. The next prime is 256398454043. The reversal of 256398454032 is 230454893652.

256398454032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227682 + ... + 751422.

Almost surely, 2256398454032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256398454032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399015985152).

256398454032 is an abundant number, since it is smaller than the sum of its proper divisors (541633516272).

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

256398454032 is a wasteful number, since it uses less digits than its factorization.

256398454032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523837 (or 523831 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 256398454032 in words is "two hundred fifty-six billion, three hundred ninety-eight million, four hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 47 48 56 62 84 93 94 112 124 141 168 186 188 217 248 282 329 336 372 376 434 496 564 651 658 744 752 868 987 1128 1302 1316 1457 1488 1736 1974 2256 2604 2632 2914 3472 3948 4371 5208 5264 5828 7896 8742 10199 10416 11656 15792 17484 20398 23312 30597 34968 40796 61194 69936 81592 122388 163184 244776 489552 523741 1047482 1571223 2094964 3142446 3666187 4189928 6284892 7332374 8379856 10998561 12569784 14664748 16235971 21997122 24615827 25139568 29329496 32471942 43994244 48707913 49231654 58658992 64943884 73847481 87988488 97415826 98463308 113651797 129887768 147694962 172310789 175976976 194831652 196926616 227303594 259775536 295389924 340955391 344621578 389663304 393853232 454607188 516932367 590779848 681910782 689243156 763090637 779326608 909214376 1033864734 1181559696 1363821564 1378486312 1526181274 1818428752 2067729468 2289271911 2727643128 2756972624 3052362548 4135458936 4578543822 5341634459 5455286256 6104725096 8270917872 9157087644 10683268918 12209450192 16024903377 18314175288 21366537836 32049806754 36628350576 42733075672 64099613508 85466151344 128199227016 256398454032