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10526741420 = 22513433073067
BaseRepresentation
bin10011100110111000…
…10101001110101100
31000011121220212111212
421303130111032230
5133024321211140
64500320333552
7521601553136
oct116334251654
930147825455
1010526741420
1145120866a8
1220594742b8
13cb9b762a0
1471c0ba056
15419259765
hex2737153ac

10526741420 has 96 divisors (see below), whose sum is σ = 24447591168. Its totient is φ = 3782806272.

The previous prime is 10526741413. The next prime is 10526741429. The reversal of 10526741420 is 2414762501.

It is a super-2 number, since 2×105267414202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10526741429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3430727 + ... + 3433793.

It is an arithmetic number, because the mean of its divisors is an integer number (254662408).

Almost surely, 210526741420 is an apocalyptic number.

10526741420 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 10526741420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223795584).

10526741420 is an abundant number, since it is smaller than the sum of its proper divisors (13920849748).

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

10526741420 is a wasteful number, since it uses less digits than its factorization.

10526741420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 10526741420 in words is "ten billion, five hundred twenty-six million, seven hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 307 430 559 614 860 1118 1228 1535 2236 2795 3067 3070 3991 5590 6134 6140 7982 11180 12268 13201 15335 15964 19955 26402 30670 39871 39910 52804 61340 66005 79742 79820 131881 132010 159484 171613 199355 263762 264020 343226 398710 527524 659405 686452 797420 858065 941569 1318810 1714453 1716130 1883138 2637620 3428906 3432260 3766276 4707845 6857812 8572265 9415690 12240397 17144530 18831380 24480794 34289060 40487467 48961588 61201985 80974934 122403970 161949868 202437335 244807940 404874670 526337071 809749340 1052674142 2105348284 2631685355 5263370710 10526741420