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10970452400 = 245243637817
BaseRepresentation
bin10100011011110001…
…11101000110110000
31001022112211201112212
422031320331012300
5134431413434100
65012330511252
7535600210145
oct121570750660
931275751485
1010970452400
11471a597296
122161b95528
13105aa8056b
14760dbc3cc
154431a4635
hex28de3d1b0

10970452400 has 60 divisors (see below), whose sum is σ = 26969496312. Its totient is φ = 4286123520.

The previous prime is 10970452387. The next prime is 10970452421. The reversal of 10970452400 is 425407901.

It is a happy number.

10970452400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301709 + ... + 336108.

Almost surely, 210970452400 is an apocalyptic number.

10970452400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10970452400 is an abundant number, since it is smaller than the sum of its proper divisors (15999043912).

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

10970452400 is a wasteful number, since it uses less digits than its factorization.

10970452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637878 (or 637867 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 10970452400 in words is "ten billion, nine hundred seventy million, four hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1720 2150 3440 4300 8600 17200 637817 1275634 2551268 3189085 5102536 6378170 10205072 12756340 15945425 25512680 27426131 31890850 51025360 54852262 63781700 109704524 127563400 137130655 219409048 255126800 274261310 438818096 548522620 685653275 1097045240 1371306550 2194090480 2742613100 5485226200 10970452400