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11710620800 = 275219132
BaseRepresentation
bin10101110100000000…
…11110010010000000
31010020010121011201022
422322000132102000
5142440404331200
65214011125012
7563125430414
oct127200362200
933203534638
1011710620800
114a6a38180a
122329a43768
131148215028
147d1410d44
1548815d885
hex2ba01e480

11710620800 has 72 divisors (see below), whose sum is σ = 28944023115. Its totient is φ = 4681799680.

The previous prime is 11710620793. The next prime is 11710620829. The reversal of 11710620800 is 802601711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8921935936 + 2788684864 = 94456^2 + 52808^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=76520.

It is a self number, because there is not a number n which added to its sum of digits gives 11710620800.

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, 6120644 + ... + 6122556.

Almost surely, 211710620800 is an apocalyptic number.

11710620800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11710620800

11710620800 is an abundant number, since it is smaller than the sum of its proper divisors (17233402315).

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

11710620800 is an frugal number, since it uses more digits than its factorization.

11710620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 11710620800 in words is "eleven billion, seven hundred ten million, six hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 1913 3200 3826 7652 9565 15304 19130 30608 38260 47825 61216 76520 95650 122432 153040 191300 244864 306080 382600 612160 765200 1224320 1530400 3060800 3659569 6121600 7319138 14638276 18297845 29276552 36595690 58553104 73191380 91489225 117106208 146382760 182978450 234212416 292765520 365956900 468424832 585531040 731913800 1171062080 1463827600 2342124160 2927655200 5855310400 11710620800