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57698403984 = 243213229134593
BaseRepresentation
bin110101101111000101…
…111100011010010000
312111221002201121120100
4311233011330122100
51421131242411414
642301205012400
74111551225144
oct655705743220
9174832647510
1057698403984
11225192769a1
12b2230b4100
135596976760
142b14d2b224
15177a668609
hexd6f17c690

57698403984 has 120 divisors (see below), whose sum is σ = 174657250040. Its totient is φ = 17675698176.

The previous prime is 57698403977. The next prime is 57698404013. The reversal of 57698403984 is 48930489675.

57698403984 is a `hidden beast` number, since 57 + 6 + 98 + 403 + 98 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4917936384 + 52780467600 = 70128^2 + 229740^2 .

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 23 ways as a sum of consecutive naturals, for example, 361392 + ... + 495984.

Almost surely, 257698403984 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 57698403984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87328625020).

57698403984 is an abundant number, since it is smaller than the sum of its proper divisors (116958846056).

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

57698403984 is a wasteful number, since it uses less digits than its factorization.

57698403984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134849 (or 134840 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 57698403984 in words is "fifty-seven billion, six hundred ninety-eight million, four hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 229 234 312 458 468 624 687 916 936 1374 1832 1872 2061 2748 2977 3664 4122 5496 5954 8244 8931 10992 11908 16488 17862 23816 26793 32976 35724 47632 53586 71448 107172 134593 142896 214344 269186 403779 428688 538372 807558 1076744 1211337 1615116 1749709 2153488 2422674 3230232 3499418 4845348 5249127 6460464 6998836 9690696 10498254 13997672 15747381 19381392 20996508 27995344 30821797 31494762 41993016 61643594 62989524 83986032 92465391 123287188 125979048 184930782 246574376 251958096 277396173 369861564 400683361 493148752 554792346 739723128 801366722 1109584692 1202050083 1479446256 1602733444 2219169384 2404100166 3205466888 3606150249 4438338768 4808200332 6410933776 7212300498 9616400664 14424600996 19232801328 28849201992 57698403984