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5104214028 = 2235171032999
BaseRepresentation
bin1001100000011110…
…00010000000001100
3111011201110221100000
410300033002000030
540423134322103
62202253004300
7240326050314
oct46017020014
914151427300
105104214028
11218a217601
12ba5483690
136346194b4
14365c6c444
151ed18eaa3
hex1303c200c

5104214028 has 144 divisors (see below), whose sum is σ = 14309568000. Its totient is φ = 1585246464.

The previous prime is 5104214023. The next prime is 5104214029. The reversal of 5104214028 is 8204124015.

5104214028 is a `hidden beast` number, since 510 + 4 + 2 + 140 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5104213992 and 5104214010.

It is not an unprimeable number, because it can be changed into a prime (5104214023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1700473 + ... + 1703471.

It is an arithmetic number, because the mean of its divisors is an integer number (99372000).

Almost surely, 25104214028 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 5104214028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154784000).

5104214028 is an abundant number, since it is smaller than the sum of its proper divisors (9205353972).

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

5104214028 is a wasteful number, since it uses less digits than its factorization.

5104214028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5104214028 is about 71443.7822906934. The cubic root of 5104214028 is about 1721.7745823009.

The spelling of 5104214028 in words is "five billion, one hundred four million, two hundred fourteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 103 108 153 162 204 206 243 306 309 324 412 459 486 612 618 918 927 972 1236 1377 1751 1836 1854 2754 2781 2999 3502 3708 4131 5253 5508 5562 5998 7004 8262 8343 8997 10506 11124 11996 15759 16524 16686 17994 21012 25029 26991 31518 33372 35988 47277 50058 50983 53982 63036 80973 94554 100116 101966 107964 141831 152949 161946 189108 203932 242919 283662 305898 308897 323892 425493 458847 485838 567324 611796 617794 728757 850986 917694 926691 971676 1235588 1376541 1457514 1701972 1835388 1853382 2753082 2780073 2915028 3706764 4129623 5251249 5506164 5560146 8259246 8340219 10502498 11120292 12388869 15753747 16518492 16680438 21004996 24777738 25020657 31507494 33360876 47261241 49555476 50041314 63014988 75061971 94522482 100082628 141783723 150123942 189044964 283567446 300247884 425351169 567134892 850702338 1276053507 1701404676 2552107014 5104214028