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10764549264 = 2437271118219
BaseRepresentation
bin10100000011001110…
…11111110010010000
31000210012101202112210
422001213133302100
5134021211034024
64540053352120
7530520105360
oct120147376220
930705352483
1010764549264
114624342207
122105038640
13102720a3a1
147419009a0
15430081129
hex2819dfc90

10764549264 has 80 divisors (see below), whose sum is σ = 31898593280. Its totient is φ = 3064210560.

The previous prime is 10764549251. The next prime is 10764549269. The reversal of 10764549264 is 46294546701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10764549269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31947 + ... + 150165.

It is an arithmetic number, because the mean of its divisors is an integer number (398732416).

Almost surely, 210764549264 is an apocalyptic number.

10764549264 is a gapful number since it is divisible by the number (14) 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 10764549264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949296640).

10764549264 is an abundant number, since it is smaller than the sum of its proper divisors (21134044016).

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

10764549264 is a wasteful number, since it uses less digits than its factorization.

10764549264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118508 (or 118502 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 10764549264 in words is "ten billion, seven hundred sixty-four million, five hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 271 336 542 813 1084 1626 1897 2168 3252 3794 4336 5691 6504 7588 11382 13008 15176 22764 30352 45528 91056 118219 236438 354657 472876 709314 827533 945752 1418628 1655066 1891504 2482599 2837256 3310132 4965198 5674512 6620264 9930396 13240528 19860792 32037349 39721584 64074698 96112047 128149396 192224094 224261443 256298792 384448188 448522886 512597584 672784329 768896376 897045772 1345568658 1537792752 1794091544 2691137316 3588183088 5382274632 10764549264