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70321493124 = 223219322292
BaseRepresentation
bin100000101111101111…
…1001101010010000100
320201111211021222112100
41001133133031102010
52123004300234444
652145533352100
75036426554251
oct1013737152204
9221454258470
1070321493124
1127906716673
1211766638630
136828c2c37c
1435915c2428
151c68967e69
hex105f7cd484

70321493124 has 81 divisors (see below), whose sum is σ = 179466583023. Its totient is φ = 23217214464.

The previous prime is 70321493113. The next prime is 70321493141. The reversal of 70321493124 is 42139412307.

It is a happy number.

The square root of 70321493124 is 265182.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4288940100 + 66032553024 = 65490^2 + 256968^2 .

It is a super-2 number, since 2×703214931242 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 307080642 + ... + 307080870.

Almost surely, 270321493124 is an apocalyptic number.

70321493124 is the 265182-nd square number.

It is an amenable number.

70321493124 is an abundant number, since it is smaller than the sum of its proper divisors (109145089899).

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

70321493124 is a wasteful number, since it uses less digits than its factorization.

70321493124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 70321493124 by its sum of digits (36), we get a square (2531573752464 = 15910922).

70321493124 divided by its sum of digits (36) gives a square (1953374809 = 441972).

The spelling of 70321493124 in words is "seventy billion, three hundred twenty-one million, four hundred ninety-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 193 229 386 458 579 687 772 916 1158 1374 1737 2061 2316 2748 3474 4122 6948 8244 37249 44197 52441 74498 88394 104882 111747 132591 148996 157323 176788 209764 223494 265182 314646 335241 397773 446988 471969 530364 629292 670482 795546 943938 1340964 1591092 1887876 8530021 10121113 17060042 20242226 25590063 30363339 34120084 40484452 51180126 60726678 76770189 91090017 102360252 121453356 153540378 182180034 307080756 364360068 1953374809 3906749618 5860124427 7813499236 11720248854 17580373281 23440497708 35160746562 70321493124