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70099253812224 = 2103373132191229
BaseRepresentation
bin11111111000001010000010…
…00111110101110000000000
3100012012102102112011211212000
433330011001013311300000
533142001232433442344
6405031052545104000
720523334600101000
oct1774050107656000
9305172375154760
1070099253812224
1120376a2132530a
127a41856328000
13301643ca54c00
141344b71768000
15818698487a69
hex3fc1411f5c00

70099253812224 has 2112 divisors, whose sum is σ = 264678082560000. Its totient is φ = 18310611271680.

The previous prime is 70099253812193. The next prime is 70099253812277. The reversal of 70099253812224 is 42221835299007.

70099253812224 is a `hidden beast` number, since 7 + 0 + 0 + 9 + 92 + 538 + 12 + 2 + 2 + 4 = 666.

It is a super-3 number, since 3×700992538122243 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 306110278542 + ... + 306110278770.

Almost surely, 270099253812224 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 70099253812224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132339041280000).

70099253812224 is an abundant number, since it is smaller than the sum of its proper divisors (194578828747776).

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

70099253812224 is a wasteful number, since it uses less digits than its factorization.

70099253812224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 70099253812224 in words is "seventy trillion, ninety-nine billion, two hundred fifty-three million, eight hundred twelve thousand, two hundred twenty-four".