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70926342400 = 285233292
BaseRepresentation
bin100001000001110001…
…0100001100100000000
320210001222102111202101
41002003202201210000
52130224120424100
652325541400144
75060422651234
oct1020342414400
9223058374671
1070926342400
1128097086901
12118b5109054
1368c4335254
14360ba6c5c4
151ca1ae286a
hex10838a1900

70926342400 has 81 divisors (see below), whose sum is σ = 175606530211. Its totient is φ = 28362014720.

The previous prime is 70926342341. The next prime is 70926342449. The reversal of 70926342400 is 424362907.

The square root of 70926342400 is 266320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4436625664 + 66489716736 = 66608^2 + 257856^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 70926342400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21303936 + ... + 21307264.

Almost surely, 270926342400 is an apocalyptic number.

70926342400 is the 266320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70926342400

70926342400 is an abundant number, since it is smaller than the sum of its proper divisors (104680187811).

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

70926342400 is an frugal number, since it uses more digits than its factorization.

70926342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 70926342400 in words is "seventy billion, nine hundred twenty-six million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 3329 6400 6658 13316 16645 26632 33290 53264 66580 83225 106528 133160 166450 213056 266320 332900 426112 532640 665800 852224 1065280 1331600 2130560 2663200 4261120 5326400 10652800 11082241 21305600 22164482 44328964 55411205 88657928 110822410 177315856 221644820 277056025 354631712 443289640 554112050 709263424 886579280 1108224100 1418526848 1773158560 2216448200 2837053696 3546317120 4432896400 7092634240 8865792800 14185268480 17731585600 35463171200 70926342400