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70132210344 = 23337106143717
BaseRepresentation
bin100000101010000110…
…1001001101010101000
320201000122010102101000
41001110031021222220
52122112321212334
652115052355000
75031640644360
oct1012415115250
9221018112330
1070132210344
1127819893719
1211713175a60
1367c8958221
1435743cd9a0
151c57029299
hex1054349aa8

70132210344 has 128 divisors (see below), whose sum is σ = 222856876800. Its totient is φ = 20018430720.

The previous prime is 70132210331. The next prime is 70132210399. The reversal of 70132210344 is 44301223107.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1582374 + ... + 1626090.

It is an arithmetic number, because the mean of its divisors is an integer number (1741069350).

Almost surely, 270132210344 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 70132210344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111428438400).

70132210344 is an abundant number, since it is smaller than the sum of its proper divisors (152724666456).

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

70132210344 is a wasteful number, since it uses less digits than its factorization.

70132210344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44800 (or 44790 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 70132210344 in words is "seventy billion, one hundred thirty-two million, two hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1061 1512 2122 3183 4244 6366 7427 8488 9549 12732 14854 19098 22281 25464 28647 29708 38196 43717 44562 57294 59416 66843 76392 87434 89124 114588 131151 133686 174868 178248 200529 229176 262302 267372 306019 349736 393453 401058 524604 534744 612038 786906 802116 918057 1049208 1180359 1224076 1573812 1604232 1836114 2360718 2448152 2754171 3147624 3672228 4721436 5508342 7344456 8262513 9442872 11016684 16525026 22033368 33050052 46383737 66100104 92767474 139151211 185534948 278302422 324686159 371069896 417453633 556604844 649372318 834907266 974058477 1113209688 1252360899 1298744636 1669814532 1948116954 2504721798 2597489272 2922175431 3339629064 3896233908 5009443596 5844350862 7792467816 8766526293 10018887192 11688701724 17533052586 23377403448 35066105172 70132210344