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5146267360 = 2551319912433
BaseRepresentation
bin1001100101011110…
…11100111011100000
3111021122121110122211
410302233130323200
541014421023420
62210354211504
7241346356633
oct46257347340
914248543584
105146267360
112200a2a923
12bb7583b94
13640251820
1436b697c1a
15201be9e5a
hex132bdcee0

5146267360 has 96 divisors (see below), whose sum is σ = 13160145600. Its totient is φ = 1890459648.

The previous prime is 5146267327. The next prime is 5146267367. The reversal of 5146267360 is 637626415.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146267367) 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, 407704 + ... + 420136.

It is an arithmetic number, because the mean of its divisors is an integer number (137084850).

Almost surely, 25146267360 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 5146267360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580072800).

5146267360 is an abundant number, since it is smaller than the sum of its proper divisors (8013878240).

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

5146267360 is a wasteful number, since it uses less digits than its factorization.

5146267360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12660 (or 12652 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 5146267360 is about 71737.4892228603. The cubic root of 5146267360 is about 1726.4901899873.

The spelling of 5146267360 in words is "five billion, one hundred forty-six million, two hundred sixty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 199 208 260 398 416 520 796 995 1040 1592 1990 2080 2587 3184 3980 5174 6368 7960 10348 12433 12935 15920 20696 24866 25870 31840 41392 49732 51740 62165 82784 99464 103480 124330 161629 198928 206960 248660 323258 397856 413920 497320 646516 808145 994640 1293032 1616290 1989280 2474167 2586064 3232580 4948334 5172128 6465160 9896668 12370835 12930320 19793336 24741670 25860640 32164171 39586672 49483340 64328342 79173344 98966680 128656684 160820855 197933360 257313368 321641710 395866720 514626736 643283420 1029253472 1286566840 2573133680 5146267360