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10492848540 = 2234521130697
BaseRepresentation
bin10011100010110110…
…00010100110011100
31000002021010221020000
421301123002212130
5132442132123130
64453110054300
7521010512106
oct116133024634
930067127200
1010492848540
1144a4a37459
12204a04a390
13cb2b3a425
147177b6576
154162b2260
hex2716c299c

10492848540 has 120 divisors (see below), whose sum is σ = 33073534032. Its totient is φ = 2784741120.

The previous prime is 10492848539. The next prime is 10492848547. The reversal of 10492848540 is 4584829401.

10492848540 is a `hidden beast` number, since 1 + 0 + 49 + 28 + 48 + 540 = 666.

It is a super-2 number, since 2×104928485402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10492848547) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 326472 + ... + 357168.

Almost surely, 210492848540 is an apocalyptic number.

10492848540 is a gapful number since it is divisible by the number (10) 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 10492848540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536767016).

10492848540 is an abundant number, since it is smaller than the sum of its proper divisors (22580685492).

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

10492848540 is a wasteful number, since it uses less digits than its factorization.

10492848540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30929 (or 30918 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10492848540 in words is "ten billion, four hundred ninety-two million, eight hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 211 270 324 405 422 540 633 810 844 1055 1266 1620 1899 2110 2532 3165 3798 4220 5697 6330 7596 9495 11394 12660 17091 18990 22788 28485 30697 34182 37980 56970 61394 68364 85455 92091 113940 122788 153485 170910 184182 276273 306970 341820 368364 460455 552546 613940 828819 920910 1105092 1381365 1657638 1841820 2486457 2762730 3315276 4144095 4972914 5525460 6477067 8288190 9945828 12432285 12954134 16576380 19431201 24864570 25908268 32385335 38862402 49729140 58293603 64770670 77724804 97156005 116587206 129541340 174880809 194312010 233174412 291468015 349761618 388624020 524642427 582936030 699523236 874404045 1049284854 1165872060 1748808090 2098569708 2623212135 3497616180 5246424270 10492848540