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5348856160 = 255377911437
BaseRepresentation
bin1001111101101000…
…10001000101100000
3111210202211001020201
410332310101011200
541423301344120
62242432314544
7246356345554
oct47664210540
914722731221
105348856160
1122a532088a
1210533a2a54
1367320425b
1438a551864
152148b640a
hex13ed11160

5348856160 has 96 divisors (see below), whose sum is σ = 13143634560. Its totient is φ = 2055186432.

The previous prime is 5348856143. The next prime is 5348856167. The reversal of 5348856160 is 616588435.

It is a super-2 number, since 2×53488561602 = 57220524440739891200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5348856160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5348856167) 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, 461962 + ... + 473398.

It is an arithmetic number, because the mean of its divisors is an integer number (136912860).

Almost surely, 25348856160 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 5348856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571817280).

5348856160 is an abundant number, since it is smaller than the sum of its proper divisors (7794778400).

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

5348856160 is a wasteful number, since it uses less digits than its factorization.

5348856160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11568 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The square root of 5348856160 is about 73135.8746443905. The cubic root of 5348856160 is about 1748.8543423906.

The spelling of 5348856160 in words is "five billion, three hundred forty-eight million, eight hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 79 80 148 158 160 185 296 316 370 395 592 632 740 790 1184 1264 1480 1580 2528 2923 2960 3160 5846 5920 6320 11437 11692 12640 14615 22874 23384 29230 45748 46768 57185 58460 91496 93536 114370 116920 182992 228740 233840 365984 423169 457480 467680 846338 903523 914960 1692676 1807046 1829920 2115845 3385352 3614092 4231690 4517615 6770704 7228184 8463380 9035230 13541408 14456368 16926760 18070460 28912736 33430351 33853520 36140920 66860702 67707040 72281840 133721404 144563680 167151755 267442808 334303510 534885616 668607020 1069771232 1337214040 2674428080 5348856160