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11338670784 = 263710338167
BaseRepresentation
bin10101000111101011…
…00110001011000000
31002021012201011012210
422203311212023000
5141210144431114
65113043022120
7550661053140
oct124365461300
932235634183
1011338670784
114899425201
12224536a940
1310b9144c6c
14797c6c920
1546568b259
hex2a3d662c0

11338670784 has 112 divisors (see below), whose sum is σ = 34323373568. Its totient is φ = 3236087808.

The previous prime is 11338670669. The next prime is 11338670839. The reversal of 11338670784 is 48707683311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384269 + ... + 1392435.

Almost surely, 211338670784 is an apocalyptic number.

11338670784 is a gapful number since it is divisible by the number (14) 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 11338670784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17161686784).

11338670784 is an abundant number, since it is smaller than the sum of its proper divisors (22984702784).

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

11338670784 is a wasteful number, since it uses less digits than its factorization.

11338670784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9212 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 11338670784 in words is "eleven billion, three hundred thirty-eight million, six hundred seventy thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1033 1344 2066 3099 4132 6198 7231 8167 8264 12396 14462 16334 16528 21693 24501 24792 28924 32668 33056 43386 49002 49584 57169 57848 65336 66112 86772 98004 99168 114338 115696 130672 171507 173544 196008 198336 228676 231392 261344 343014 347088 392016 457352 462784 522688 686028 694176 784032 914704 1372056 1388352 1568064 1829408 2744112 3658816 5488224 8436511 10976448 16873022 25309533 33746044 50619066 59055577 67492088 101238132 118111154 134984176 177166731 202476264 236222308 269968352 354333462 404952528 472444616 539936704 708666924 809905056 944889232 1417333848 1619810112 1889778464 2834667696 3779556928 5669335392 11338670784