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5072412072 = 23371313671699
BaseRepresentation
bin1001011100101011…
…01101110110101000
3111002111122020020210
410232111231312220
540342014141242
62155155221120
7236461535250
oct45625556650
914074566223
105072412072
1121732762a2
12b968a77a0
1362ab63280
14361950960
151ea4abd9c
hex12e56dda8

5072412072 has 128 divisors (see below), whose sum is σ = 15628032000. Its totient is φ = 1336013568.

The previous prime is 5072412071. The next prime is 5072412143. The reversal of 5072412072 is 2702142705.

It is not an unprimeable number, because it can be changed into a prime (5072412071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2984679 + ... + 2986377.

It is an arithmetic number, because the mean of its divisors is an integer number (122094000).

Almost surely, 25072412072 is an apocalyptic number.

5072412072 is a gapful number since it is divisible by the number (52) 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 5072412072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814016000).

5072412072 is an abundant number, since it is smaller than the sum of its proper divisors (10555619928).

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

5072412072 is a wasteful number, since it uses less digits than its factorization.

5072412072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 5072412072 is about 71220.8682339664. The cubic root of 5072412072 is about 1718.1912742287.

Adding to 5072412072 its reverse (2702142705), we get a palindrome (7774554777).

The spelling of 5072412072 in words is "five billion, seventy-two million, four hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1367 1699 2184 2734 3398 4101 5097 5468 6796 8202 9569 10194 10936 11893 13592 16404 17771 19138 20388 22087 23786 28707 32808 35542 35679 38276 40776 44174 47572 53313 57414 66261 71084 71358 76552 88348 95144 106626 114828 124397 132522 142168 142716 154609 176696 213252 229656 248794 265044 285432 309218 373191 426504 463827 497588 530088 618436 746382 927654 995176 1236872 1492764 1855308 2322533 2985528 3710616 4645066 6967599 9290132 13935198 16257731 18580264 27870396 30192929 32515462 48773193 55740792 60385858 65030924 90578787 97546386 120771716 130061848 181157574 195092772 211350503 241543432 362315148 390185544 422701006 634051509 724630296 845402012 1268103018 1690804024 2536206036 5072412072