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5150576544 = 2531918115601
BaseRepresentation
bin1001100101111111…
…11000111110100000
3111021221201101202020
410302333320332200
541022021422134
62211030421440
7241431115101
oct46277707640
914257641666
105150576544
112203403433
12bb8b01880
13641100039
1436c09a3a8
1520229bb49
hex132ff8fa0

5150576544 has 96 divisors (see below), whose sum is σ = 14311402560. Its totient is φ = 1617408000.

The previous prime is 5150576489. The next prime is 5150576573. The reversal of 5150576544 is 4456750515.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5150576496 and 5150576505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322344 + ... + 337944.

It is an arithmetic number, because the mean of its divisors is an integer number (149077110).

Almost surely, 25150576544 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 5150576544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155701280).

5150576544 is an abundant number, since it is smaller than the sum of its proper divisors (9160826016).

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

5150576544 is a wasteful number, since it uses less digits than its factorization.

5150576544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15814 (or 15806 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The square root of 5150576544 is about 71767.5173320075. The cubic root of 5150576544 is about 1726.9719429296.

The spelling of 5150576544 in words is "five billion, one hundred fifty million, five hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 181 228 304 362 456 543 608 724 912 1086 1448 1824 2172 2896 3439 4344 5792 6878 8688 10317 13756 15601 17376 20634 27512 31202 41268 46803 55024 62404 82536 93606 110048 124808 165072 187212 249616 296419 330144 374424 499232 592838 748848 889257 1185676 1497696 1778514 2371352 2823781 3557028 4742704 5647562 7114056 8471343 9485408 11295124 14228112 16942686 22590248 28456224 33885372 45180496 53651839 67770744 90360992 107303678 135541488 160955517 214607356 271082976 321911034 429214712 643822068 858429424 1287644136 1716858848 2575288272 5150576544