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5070007656 = 2332723594003
BaseRepresentation
bin1001011100011001…
…00010110101101000
3111002100010002000100
410232030202311220
540340410221111
62155031505400
7236432232300
oct45614426550
914070102010
105070007656
11217198387a
12b95b28260
1362a500a3c
143614c6600
151ea184756
hex12e322d68

5070007656 has 144 divisors (see below), whose sum is σ = 16021605600. Its totient is φ = 1444177728.

The previous prime is 5070007627. The next prime is 5070007669. The reversal of 5070007656 is 6567000705.

It is a super-2 number, since 2×50700076562 = 51409955263797228672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5070007656.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1264551 + ... + 1268553.

It is an arithmetic number, because the mean of its divisors is an integer number (111261150).

Almost surely, 25070007656 is an apocalyptic number.

5070007656 is a gapful number since it is divisible by the number (56) 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 5070007656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010802800).

5070007656 is an abundant number, since it is smaller than the sum of its proper divisors (10951597944).

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

5070007656 is a wasteful number, since it uses less digits than its factorization.

5070007656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5070007656 is about 71203.9862367269. The cubic root of 5070007656 is about 1717.9197466355.

The spelling of 5070007656 in words is "five billion, seventy million, seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 359 392 441 504 588 718 882 1077 1176 1436 1764 2154 2513 2872 3231 3528 4003 4308 5026 6462 7539 8006 8616 10052 12009 12924 15078 16012 17591 20104 22617 24018 25848 28021 30156 32024 35182 36027 45234 48036 52773 56042 60312 70364 72054 84063 90468 96072 105546 112084 140728 144108 158319 168126 180936 196147 211092 224168 252189 288216 316638 336252 392294 422184 504378 588441 633276 672504 784588 1008756 1176882 1266552 1437077 1569176 1765323 2017512 2353764 2874154 3530646 4311231 4707528 5748308 7061292 8622462 10059539 11496616 12933693 14122584 17244924 20119078 25867386 30178617 34489848 40238156 51734772 60357234 70416773 80476312 90535851 103469544 120714468 140833546 181071702 211250319 241428936 281667092 362143404 422500638 563334184 633750957 724286808 845001276 1267501914 1690002552 2535003828 5070007656