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5151155136 = 2631011092437
BaseRepresentation
bin1001100110000100…
…00110001111000000
3111021222210210102120
410303002012033000
541022143431021
62211051044240
7241436045001
oct46302061700
914258723376
105151155136
112203769106
12bb9140680
136412734ba
1436c1ab1a8
152023632c6
hex1330863c0

5151155136 has 112 divisors (see below), whose sum is σ = 13896014880. Its totient is φ = 1683763200.

The previous prime is 5151155117. The next prime is 5151155173. The reversal of 5151155136 is 6315511515.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5151155097 and 5151155106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112510 + ... + 2114946.

Almost surely, 25151155136 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 5151155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948007440).

5151155136 is an abundant number, since it is smaller than the sum of its proper divisors (8744859744).

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

5151155136 is a wasteful number, since it uses less digits than its factorization.

5151155136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2652 counting only the distinct ones).

The product of its digits is 11250, while the sum is 33.

The square root of 5151155136 is about 71771.5482346591. The cubic root of 5151155136 is about 1727.0366071944.

The spelling of 5151155136 in words is "five billion, one hundred fifty-one million, one hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 109 192 202 218 303 327 404 436 606 654 808 872 1212 1308 1616 1744 2424 2437 2616 3232 3488 4848 4874 5232 6464 6976 7311 9696 9748 10464 11009 14622 19392 19496 20928 22018 29244 33027 38992 44036 58488 66054 77984 88072 116976 132108 155968 176144 233952 246137 264216 265633 352288 467904 492274 528432 531266 704576 738411 796899 984548 1056864 1062532 1476822 1593798 1969096 2113728 2125064 2953644 3187596 3938192 4250128 5907288 6375192 7876384 8500256 11814576 12750384 15752768 17000512 23629152 25500768 26828933 47258304 51001536 53657866 80486799 107315732 160973598 214631464 321947196 429262928 643894392 858525856 1287788784 1717051712 2575577568 5151155136