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70934217696 = 2533208939301
BaseRepresentation
bin100001000010000000…
…0100100001111100000
320210002112020121122000
41002010000210033200
52130233124431241
652330422244000
75060546621256
oct1020400441740
9223075217560
1070934217696
11280a0575711
12118b7886600
1368c5b619a4
14360cb1c5d6
151ca264aeb6
hex10840243e0

70934217696 has 96 divisors (see below), whose sum is σ = 206995773600. Its totient is φ = 23632819200.

The previous prime is 70934217677. The next prime is 70934217773. The reversal of 70934217696 is 69671243907.

It is a happy number.

70934217696 is a `hidden beast` number, since 70 + 93 + 421 + 7 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1785246 + ... + 1824546.

It is an arithmetic number, because the mean of its divisors is an integer number (2156205975).

Almost surely, 270934217696 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 70934217696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103497886800).

70934217696 is an abundant number, since it is smaller than the sum of its proper divisors (136061555904).

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

70934217696 is a wasteful number, since it uses less digits than its factorization.

70934217696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41409 (or 41395 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 70934217696 in words is "seventy billion, nine hundred thirty-four million, two hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2089 4178 6267 8356 12534 16712 18801 25068 33424 37602 39301 50136 56403 66848 75204 78602 100272 112806 117903 150408 157204 200544 225612 235806 300816 314408 353709 451224 471612 601632 628816 707418 902448 943224 1061127 1257632 1414836 1804896 1886448 2122254 2829672 3772896 4244508 5659344 8489016 11318688 16978032 33956064 82099789 164199578 246299367 328399156 492598734 656798312 738898101 985197468 1313596624 1477796202 1970394936 2216694303 2627193248 2955592404 3940789872 4433388606 5911184808 7881579744 8866777212 11822369616 17733554424 23644739232 35467108848 70934217696