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11684620288 = 211115091019
BaseRepresentation
bin10101110000111010…
…10010100000000000
31010011022200012201101
422320131102200000
5142412230322123
65211241544144
7562361430235
oct127035224000
933138605641
1011684620288
114a56733190
1223211a5054
131142a10603
147cbba378c
15485c24aad
hex2b8752800

11684620288 has 96 divisors (see below), whose sum is σ = 25562628000. Its totient is φ = 5295554560.

The previous prime is 11684620273. The next prime is 11684620303. The reversal of 11684620288 is 88202648611.

It is an interprime number because it is at equal distance from previous prime (11684620273) and next prime (11684620303).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11466243 + ... + 11467261.

It is an arithmetic number, because the mean of its divisors is an integer number (266277375).

Almost surely, 211684620288 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 11684620288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781314000).

11684620288 is an abundant number, since it is smaller than the sum of its proper divisors (13878007712).

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

11684620288 is a wasteful number, since it uses less digits than its factorization.

11684620288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 11684620288 in words is "eleven billion, six hundred eighty-four million, six hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 509 512 704 1018 1019 1024 1408 2036 2038 2048 2816 4072 4076 5599 5632 8144 8152 11198 11209 11264 16288 16304 22396 22418 22528 32576 32608 44792 44836 65152 65216 89584 89672 130304 130432 179168 179344 260608 260864 358336 358688 518671 521216 521728 716672 717376 1037342 1042432 1043456 1433344 1434752 2074684 2086912 2866688 2869504 4149368 5705381 5733376 5739008 8298736 11410762 11466752 11478016 16597472 22821524 22956032 33194944 45643048 66389888 91286096 132779776 182572192 265559552 365144384 531119104 730288768 1062238208 1460577536 2921155072 5842310144 11684620288