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11781799936 = 222532
BaseRepresentation
bin10101111100100000…
…00000000000000000
31010102002112110010121
422332100000000000
5143112120044221
65225032510024
7564651434644
oct127620000000
933362473117
1011781799936
114aa6578745
12234984b314
131159ba746a
147daa5cc24
1548e51da41
hex2be400000

11781799936 has 69 divisors (see below), whose sum is σ = 24016581841. Its totient is φ = 5779750912.

The previous prime is 11781799879. The next prime is 11781799937. The reversal of 11781799936 is 63999718711.

The square root of 11781799936 is 108544.

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

It can be written as a sum of positive squares in only one way, i.e., 8493465600 + 3288334336 = 92160^2 + 57344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11781799937) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 222298086 + ... + 222298138.

Almost surely, 211781799936 is an apocalyptic number.

11781799936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11781799936 is the 108544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11781799936

11781799936 is an abundant number, since it is smaller than the sum of its proper divisors (12234781905).

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

11781799936 is an frugal number, since it uses more digits than its factorization.

11781799936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 55 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 61.

The spelling of 11781799936 in words is "eleven billion, seven hundred eighty-one million, seven hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 2809 3392 4096 5618 6784 8192 11236 13568 16384 22472 27136 32768 44944 54272 65536 89888 108544 131072 179776 217088 262144 359552 434176 524288 719104 868352 1048576 1438208 1736704 2097152 2876416 3473408 4194304 5752832 6946816 11505664 13893632 23011328 27787264 46022656 55574528 92045312 111149056 184090624 222298112 368181248 736362496 1472724992 2945449984 5890899968 11781799936