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5149225296 = 243389199673
BaseRepresentation
bin1001100101110101…
…01111000101010000
3111021212011202012000
410302322233011100
541021200202141
62210541434000
7241413456435
oct46272570520
914255152160
105149225296
1122026701a6
12bb856b900
13640a48c97
1436bc27b8c
152020d15b6
hex132eaf150

5149225296 has 160 divisors (see below), whose sum is σ = 15043680000. Its totient is φ = 1686085632.

The previous prime is 5149225273. The next prime is 5149225351. The reversal of 5149225296 is 6925229415.

5149225296 is a `hidden beast` number, since 51 + 492 + 25 + 2 + 96 = 666.

It is a super-2 number, since 2×51492252962 = 53029042297932575232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7650816 + ... + 7651488.

It is an arithmetic number, because the mean of its divisors is an integer number (94023000).

Almost surely, 25149225296 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 5149225296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521840000).

5149225296 is an abundant number, since it is smaller than the sum of its proper divisors (9894454704).

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

5149225296 is a wasteful number, since it uses less digits than its factorization.

5149225296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 966 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 5149225296 is about 71758.1026505021. The cubic root of 5149225296 is about 1726.8209066677.

The spelling of 5149225296 in words is "five billion, one hundred forty-nine million, two hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 199 216 267 356 398 432 534 597 673 712 796 801 1068 1194 1346 1424 1592 1602 1791 2019 2136 2388 2403 2692 3184 3204 3582 4038 4272 4776 4806 5373 5384 6057 6408 7164 8076 9552 9612 10746 10768 12114 12816 14328 16152 17711 18171 19224 21492 24228 28656 32304 35422 36342 38448 42984 48456 53133 59897 70844 72684 85968 96912 106266 119794 133927 141688 145368 159399 179691 212532 239588 267854 283376 290736 318798 359382 401781 425064 478197 479176 535708 539073 637596 718764 803562 850128 956394 958352 1071416 1078146 1205343 1275192 1437528 1607124 1617219 1912788 2142832 2156292 2410686 2550384 2875056 3214248 3234438 3616029 3825576 4312584 4821372 6428496 6468876 7232058 7651152 8625168 9642744 11919503 12937752 14464116 19285488 23839006 25875504 28928232 35758509 47678012 57856464 71517018 95356024 107275527 143034036 190712048 214551054 286068072 321826581 429102108 572136144 643653162 858204216 1287306324 1716408432 2574612648 5149225296