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70040782224 = 24327157442579
BaseRepresentation
bin100000100111011000…
…0011000010110010000
320200210021002101120100
41001032300120112100
52121420420012344
652102025012400
75026450553160
oct1011660302620
9220707071510
1070040782224
1127782217396
12116a8624100
1367b2a2624a
1435661d05a0
151c4deb9569
hex104ec18590

70040782224 has 120 divisors (see below), whose sum is σ = 225446711360. Its totient is φ = 19884144384.

The previous prime is 70040782199. The next prime is 70040782247. The reversal of 70040782224 is 42228704007.

It is a super-2 number, since 2×700407822242 (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63034 + ... + 379545.

Almost surely, 270040782224 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 70040782224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112723355680).

70040782224 is an abundant number, since it is smaller than the sum of its proper divisors (155405929136).

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

70040782224 is a wasteful number, since it uses less digits than its factorization.

70040782224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442757 (or 442748 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 70040782224 in words is "seventy billion, forty million, seven hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 157 168 252 314 336 471 504 628 942 1008 1099 1256 1413 1884 2198 2512 2826 3297 3768 4396 5652 6594 7536 8792 9891 11304 13188 17584 19782 22608 26376 39564 52752 79128 158256 442579 885158 1327737 1770316 2655474 3098053 3540632 3983211 5310948 6196106 7081264 7966422 9294159 10621896 12392212 15932844 18588318 21243792 24784424 27882477 31865688 37176636 49568848 55764954 63731376 69484903 74353272 111529908 138969806 148706544 208454709 223059816 277939612 416909418 446119632 486394321 555879224 625364127 833818836 972788642 1111758448 1250728254 1459182963 1667637672 1945577284 2501456508 2918365926 3335275344 3891154568 4377548889 5002913016 5836731852 7782309136 8755097778 10005826032 11673463704 17510195556 23346927408 35020391112 70040782224