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11402822656 = 210472712
BaseRepresentation
bin10101001111010100…
…10100010000000000
31002102200102102001001
422213222110100000
5141323110311111
65123254021344
7552400251631
oct124752242000
932380372031
1011402822656
114921661485
122262947854
1310c9516954
147a25ab888
1546b10e1c1
hex2a7a94400

11402822656 has 99 divisors (see below), whose sum is σ = 23622463927. Its totient is φ = 5501511680.

The previous prime is 11402822623. The next prime is 11402822663. The reversal of 11402822656 is 65622820411.

The square root of 11402822656 is 106784.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

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, 160603101 + ... + 160603171.

Almost surely, 211402822656 is an apocalyptic number.

11402822656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11402822656 is the 106784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11402822656

11402822656 is an abundant number, since it is smaller than the sum of its proper divisors (12219641271).

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

11402822656 is an frugal number, since it uses more digits than its factorization.

11402822656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 11402822656 in words is "eleven billion, four hundred two million, eight hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 47 64 71 94 128 142 188 256 284 376 512 568 752 1024 1136 1504 2209 2272 3008 3337 4418 4544 5041 6016 6674 8836 9088 10082 12032 13348 17672 18176 20164 24064 26696 35344 36352 40328 48128 53392 70688 72704 80656 106784 141376 156839 161312 213568 236927 282752 313678 322624 427136 473854 565504 627356 645248 854272 947708 1131008 1254712 1290496 1708544 1895416 2262016 2509424 2580992 3417088 3790832 5018848 5161984 7581664 10037696 11135569 15163328 20075392 22271138 30326656 40150784 44542276 60653312 80301568 89084552 121306624 160603136 178169104 242613248 356338208 712676416 1425352832 2850705664 5701411328 11402822656