Search a number
-
+
70722759968 = 257283953759
BaseRepresentation
bin100000111011101100…
…1111010110100100000
320202112210100110011022
41001313121322310200
52124320011304333
652253430105012
75052401353400
oct1016731726440
9222483313138
1070722759968
1127aa2177363
1211858aab168
1368910c5483
1435cc9d6800
151c8dccbc98
hex107767ad20

70722759968 has 72 divisors (see below), whose sum is σ = 162163814400. Its totient is φ = 30273065088.

The previous prime is 70722759917. The next prime is 70722759979. The reversal of 70722759968 is 86995722707.

It is a super-2 number, since 2×707227599682 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 70722759968.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1288673 + ... + 1342431.

It is an arithmetic number, because the mean of its divisors is an integer number (2252275200).

Almost surely, 270722759968 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 70722759968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81081907200).

70722759968 is an abundant number, since it is smaller than the sum of its proper divisors (91441054432).

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

70722759968 is a wasteful number, since it uses less digits than its factorization.

70722759968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54622 (or 54607 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 62.

The spelling of 70722759968 in words is "seventy billion, seven hundred twenty-two million, seven hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 839 1568 1678 3356 5873 6712 11746 13424 23492 26848 41111 46984 53759 82222 93968 107518 164444 187936 215036 328888 376313 430072 657776 752626 860144 1315552 1505252 1720288 2634191 3010504 5268382 6021008 10536764 12042016 21073528 42147056 45103801 84294112 90207602 180415204 315726607 360830408 631453214 721660816 1262906428 1443321632 2210086249 2525812856 4420172498 5051625712 8840344996 10103251424 17680689992 35361379984 70722759968