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5137028600 = 2352113175323
BaseRepresentation
bin1001100100011000…
…01101010111111000
3111021000020002110112
410302030031113320
541010034403400
62205424203452
7241205010524
oct46214152770
914230202415
105137028600
1121a679a690
12bb4469588
1363b3685c2
1436a370d84
15200ec2835
hex13230d5f8

5137028600 has 96 divisors (see below), whose sum is σ = 13449853440. Its totient is φ = 1807728000.

The previous prime is 5137028521. The next prime is 5137028731. The reversal of 5137028600 is 68207315.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30539 + ... + 105861.

It is an arithmetic number, because the mean of its divisors is an integer number (140102640).

Almost surely, 25137028600 is an apocalyptic number.

5137028600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5137028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724926720).

5137028600 is an abundant number, since it is smaller than the sum of its proper divisors (8312824840).

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

5137028600 is a wasteful number, since it uses less digits than its factorization.

5137028600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75381 (or 75372 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 5137028600 is about 71673.0674660991. The cubic root of 5137028600 is about 1725.4564191676.

The spelling of 5137028600 in words is "five billion, one hundred thirty-seven million, twenty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2200 2728 3100 3410 6200 6820 8525 13640 17050 34100 68200 75323 150646 301292 376615 602584 753230 828553 1506460 1657106 1883075 2335013 3012920 3314212 3766150 4142765 4670026 6628424 7532300 8285530 9340052 11675065 15064600 16571060 18680104 20713825 23350130 25685143 33142120 41427650 46700260 51370286 58375325 82855300 93400520 102740572 116750650 128425715 165710600 205481144 233501300 256851430 467002600 513702860 642128575 1027405720 1284257150 2568514300 5137028600