Search a number
-
+
57432779360 = 2551137881953
BaseRepresentation
bin110101011111010000…
…101010101001100000
312111020120220111002022
4311133100222221200
51420110242414420
642214555441012
74102144366265
oct653720525140
9174216814068
1057432779360
11223a2341210
12b16a156168
135553923318
142acb94526c
151762199c25
hexd5f42aa60

57432779360 has 96 divisors (see below), whose sum is σ = 152020647072. Its totient is φ = 20320174080.

The previous prime is 57432779309. The next prime is 57432779387. The reversal of 57432779360 is 6397723475.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 375857 + ... + 506096.

It is an arithmetic number, because the mean of its divisors is an integer number (1583548407).

Almost surely, 257432779360 is an apocalyptic number.

It is an amenable number.

57432779360 is an abundant number, since it is smaller than the sum of its proper divisors (94587867712).

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

57432779360 is a wasteful number, since it uses less digits than its factorization.

57432779360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882016 (or 882008 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 53.

The spelling of 57432779360 in words is "fifty-seven billion, four hundred thirty-two million, seven hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 352 370 407 440 592 740 814 880 1184 1480 1628 1760 2035 2960 3256 4070 5920 6512 8140 13024 16280 32560 65120 881953 1763906 3527812 4409765 7055624 8819530 9701483 14111248 17639060 19402966 28222496 32632261 35278120 38805932 48507415 65264522 70556240 77611864 97014830 130529044 141112480 155223728 163161305 194029660 261058088 310447456 326322610 358954871 388059320 522116176 652645220 717909742 776118640 1044232352 1305290440 1435819484 1552237280 1794774355 2610580880 2871638968 3589548710 5221161760 5743277936 7179097420 11486555872 14358194840 28716389680 57432779360