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11916602960 = 245481330949
BaseRepresentation
bin10110001100100100…
…01110111001010000
31010202111012011010012
423012102032321100
5143401122243320
65250250054052
7601206311453
oct130622167120
933674164105
1011916602960
1150656801a9
122386a1a328
13117bab5172
1481090d49a
1549b29a4c5
hex2c648ee50

11916602960 has 40 divisors (see below), whose sum is σ = 27712753800. Its totient is φ = 4765496832.

The previous prime is 11916602953. The next prime is 11916602963. The reversal of 11916602960 is 6920661911.

It can be written as a sum of positive squares in 4 ways, for example, as 5444078656 + 6472524304 = 73784^2 + 80452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×119166029602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11916602963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369566 + ... + 400514.

It is an arithmetic number, because the mean of its divisors is an integer number (692818845).

Almost surely, 211916602960 is an apocalyptic number.

11916602960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11916602960 is an abundant number, since it is smaller than the sum of its proper divisors (15796150840).

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

11916602960 is a wasteful number, since it uses less digits than its factorization.

11916602960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35775 (or 35769 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The spelling of 11916602960 in words is "eleven billion, nine hundred sixteen million, six hundred two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4813 9626 19252 24065 30949 38504 48130 61898 77008 96260 123796 154745 192520 247592 309490 385040 495184 618980 1237960 2475920 148957537 297915074 595830148 744787685 1191660296 1489575370 2383320592 2979150740 5958301480 11916602960