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70088202400 = 2552857102229
BaseRepresentation
bin100000101000110010…
…1010001100010100000
320200220120022120211011
41001101211101202200
52122020034434100
652110441230304
75030564614336
oct1012145214240
9220816276734
1070088202400
11277a6a65917
1211700492394
1367bc7ba318
14356c615b56
151c53234bba
hex10519518a0

70088202400 has 72 divisors (see below), whose sum is σ = 171304153020. Its totient is φ = 28002293760.

The previous prime is 70088202367. The next prime is 70088202407. The reversal of 70088202400 is 420288007.

It can be written as a sum of positive squares in 6 ways, for example, as 46851468304 + 23236734096 = 216452^2 + 152436^2 .

It is a super-2 number, since 2×700882024002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70088202407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634486 + ... + 736714.

Almost surely, 270088202400 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 70088202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85652076510).

70088202400 is an abundant number, since it is smaller than the sum of its proper divisors (101215950620).

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

70088202400 is a wasteful number, since it uses less digits than its factorization.

70088202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103106 (or 103093 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The spelling of 70088202400 in words is "seventy billion, eighty-eight million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 857 1714 3428 4285 6856 8570 13712 17140 21425 27424 34280 42850 68560 85700 102229 137120 171400 204458 342800 408916 511145 685600 817832 1022290 1635664 2044580 2555725 3271328 4089160 5111450 8178320 10222900 16356640 20445800 40891600 81783200 87610253 175220506 350441012 438051265 700882024 876102530 1401764048 1752205060 2190256325 2803528096 3504410120 4380512650 7008820240 8761025300 14017640480 17522050600 35044101200 70088202400