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24134867380 = 225132310333907
BaseRepresentation
bin10110011110100011…
…001101100110110100
32022022000000021222001
4112132203031212310
5343412011224010
615030513545044
71513040662561
oct263643154664
968260007861
1024134867380
11a26555a098
124816875184
13237822a420
14124d505868
15963c81c3a
hex59e8cd9b4

24134867380 has 96 divisors (see below), whose sum is σ = 57024785664. Its totient is φ = 8513455104.

The previous prime is 24134867369. The next prime is 24134867413. The reversal of 24134867380 is 8376843142.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 24134867380.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6175387 + ... + 6179293.

It is an arithmetic number, because the mean of its divisors is an integer number (594008184).

Almost surely, 224134867380 is an apocalyptic number.

24134867380 is a gapful number since it is divisible by the number (20) 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 24134867380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28512392832).

24134867380 is an abundant number, since it is smaller than the sum of its proper divisors (32889918284).

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

24134867380 is a wasteful number, since it uses less digits than its factorization.

24134867380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 24134867380 in words is "twenty-four billion, one hundred thirty-four million, eight hundred sixty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1033 1196 1495 2066 2990 3907 4132 5165 5980 7814 10330 13429 15628 19535 20660 23759 26858 39070 47518 50791 53716 67145 78140 89861 95036 101582 118795 134290 179722 203164 237590 253955 268580 308867 359444 449305 475180 507910 617734 898610 1015820 1168193 1235468 1544335 1797220 2336386 3088670 4035931 4672772 5840965 6177340 8071862 11681930 16143724 20179655 23363860 40359310 52467103 80718620 92826413 104934206 185652826 209868412 262335515 371305652 464132065 524671030 928264130 1049342060 1206743369 1856528260 2413486738 4826973476 6033716845 12067433690 24134867380