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10648672314 = 23710716314537
BaseRepresentation
bin10011110101011010…
…11101100000111010
31000111010100121020220
421322231131200322
5133302030003224
64520354000510
7524612135610
oct117255354072
930433317226
1010648672314
114574997135
122092276136
1310091c8047
147303796b0
15424ce2279
hex27ab5d83a

10648672314 has 64 divisors (see below), whose sum is σ = 24719717376. Its totient is φ = 2995346304.

The previous prime is 10648672283. The next prime is 10648672327. The reversal of 10648672314 is 41327684601.

It is a super-2 number, since 2×106486723142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725254 + ... + 739790.

It is an arithmetic number, because the mean of its divisors is an integer number (386245584).

Almost surely, 210648672314 is an apocalyptic number.

10648672314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10648672314 is an abundant number, since it is smaller than the sum of its proper divisors (14071045062).

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

10648672314 is a wasteful number, since it uses less digits than its factorization.

10648672314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 10648672314 in words is "ten billion, six hundred forty-eight million, six hundred seventy-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 107 163 214 321 326 489 642 749 978 1141 1498 2247 2282 3423 4494 6846 14537 17441 29074 34882 43611 52323 87222 101759 104646 122087 203518 244174 305277 366261 610554 732522 1555459 2369531 3110918 4666377 4739062 7108593 9332754 10888213 14217186 16586717 21776426 32664639 33173434 49760151 65329278 99520302 253539817 507079634 760619451 1521238902 1774778719 3549557438 5324336157 10648672314