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10492111968 = 253138407141
BaseRepresentation
bin10011100010110000…
…01110110001100000
31000002012202111211120
421301120032301200
5132441440040333
64453042212240
7521001323502
oct116130166140
930065674746
1010492111968
1144a4584018
122049954080
13cb29400a0
14717663d72
154161b8db3
hex27160ec60

10492111968 has 48 divisors (see below), whose sum is σ = 29660396976. Its totient is φ = 3228341760.

The previous prime is 10492111967. The next prime is 10492111979. The reversal of 10492111968 is 86911129401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×104921119682 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10492111967) 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, 4202323 + ... + 4204818.

It is an arithmetic number, because the mean of its divisors is an integer number (617924937).

Almost surely, 210492111968 is an apocalyptic number.

It is an amenable number.

10492111968 is an abundant number, since it is smaller than the sum of its proper divisors (19168285008).

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

10492111968 is a wasteful number, since it uses less digits than its factorization.

10492111968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8407167 (or 8407159 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The spelling of 10492111968 in words is "ten billion, four hundred ninety-two million, one hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8407141 16814282 25221423 33628564 50442846 67257128 100885692 109292833 134514256 201771384 218585666 269028512 327878499 403542768 437171332 655756998 807085536 874342664 1311513996 1748685328 2623027992 3497370656 5246055984 10492111968