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70031190456 = 233241155915217
BaseRepresentation
bin100000100111000101…
…1110010100110111000
320200202121001002010200
41001032023302212320
52121410441043311
652101043242200
75026303203633
oct1011613624670
9220677032120
1070031190456
1127777865a07
12116a5379360
1367b0a48446
143564c14c1a
151c4d222556
hex104e2f29b8

70031190456 has 96 divisors (see below), whose sum is σ = 194431255200. Its totient is φ = 22758266880.

The previous prime is 70031190443. The next prime is 70031190457. The reversal of 70031190456 is 65409113007.

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 70031190456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70031190457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4594560 + ... + 4609776.

It is an arithmetic number, because the mean of its divisors is an integer number (2025325575).

Almost surely, 270031190456 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 70031190456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97215627600).

70031190456 is an abundant number, since it is smaller than the sum of its proper divisors (124400064744).

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

70031190456 is a wasteful number, since it uses less digits than its factorization.

70031190456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16829 (or 16822 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 70031190456 in words is "seventy billion, thirty-one million, one hundred ninety thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 1559 2952 3118 4677 6236 9354 12472 14031 15217 18708 28062 30434 37416 45651 56124 60868 63919 91302 112248 121736 127838 136953 182604 191757 255676 273906 365208 383514 511352 547812 575271 623897 767028 1095624 1150542 1247794 1534056 1871691 2301084 2495588 3743382 4602168 4991176 5615073 7486764 11230146 14973528 22460292 23723303 44920584 47446606 71169909 94893212 142339818 189786424 213509727 284679636 427019454 569359272 854038908 972655423 1708077816 1945310846 2917966269 3890621692 5835932538 7781243384 8753898807 11671865076 17507797614 23343730152 35015595228 70031190456