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11746461696 = 21135873257
BaseRepresentation
bin10101111000010010…
…01100100000000000
31010022122001002011220
422330021030200000
5143024043233241
65221331235040
7564042164004
oct127411144000
933278032156
1011746461696
114a88631592
122339a48a80
131152783768
147d60a0704
1548b38d166
hex2bc24c800

11746461696 has 96 divisors (see below), whose sum is σ = 31379231520. Its totient is φ = 3907616768.

The previous prime is 11746461677. The next prime is 11746461703. The reversal of 11746461696 is 69616464711.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3604900 + ... + 3608156.

It is an arithmetic number, because the mean of its divisors is an integer number (326866995).

Almost surely, 211746461696 is an apocalyptic number.

11746461696 is a gapful number since it is divisible by the number (16) 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 11746461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689615760).

11746461696 is an abundant number, since it is smaller than the sum of its proper divisors (19632769824).

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

11746461696 is an equidigital number, since it uses as much as digits as its factorization.

11746461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3849 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 11746461696 in words is "eleven billion, seven hundred forty-six million, four hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 587 768 1024 1174 1536 1761 2048 2348 3072 3257 3522 4696 6144 6514 7044 9392 9771 13028 14088 18784 19542 26056 28176 37568 39084 52112 56352 75136 78168 104224 112704 150272 156336 208448 225408 300544 312672 416896 450816 601088 625344 833792 901632 1202176 1250688 1667584 1803264 1911859 2501376 3335168 3606528 3823718 5002752 5735577 6670336 7647436 10005504 11471154 15294872 20011008 22942308 30589744 45884616 61179488 91769232 122358976 183538464 244717952 367076928 489435904 734153856 978871808 1468307712 1957743616 2936615424 3915487232 5873230848 11746461696