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43381898496 = 2832100918661
BaseRepresentation
bin101000011001110000…
…110011110100000000
311010222100200210002100
4220121300303310000
51202321231222441
631532424350400
73064021024116
oct503160636400
9133870623070
1043381898496
1117441a50482
1284a8615400
13412490b131
1421577c5ab6
1511dd865cb6
hexa19c33d00

43381898496 has 108 divisors (see below), whose sum is σ = 125211382660. Its totient is φ = 14445527040.

The previous prime is 43381898489. The next prime is 43381898503. The reversal of 43381898496 is 69489818334.

43381898496 is a `hidden beast` number, since 43 + 3 + 8 + 18 + 98 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (43381898489) and next prime (43381898503).

It can be written as a sum of positive squares in 2 ways, for example, as 8013830400 + 35368068096 = 89520^2 + 188064^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2315406 + ... + 2334066.

Almost surely, 243381898496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43381898496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62605691330).

43381898496 is an abundant number, since it is smaller than the sum of its proper divisors (81829484164).

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

43381898496 is a wasteful number, since it uses less digits than its factorization.

43381898496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19692 (or 19675 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 43381898496 in words is "forty-three billion, three hundred eighty-one million, eight hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1009 1152 2018 2304 3027 4036 6054 8072 9081 12108 16144 18162 18661 24216 32288 36324 37322 48432 55983 64576 72648 74644 96864 111966 129152 145296 149288 167949 193728 223932 258304 290592 298576 335898 387456 447864 581184 597152 671796 774912 895728 1162368 1194304 1343592 1791456 2324736 2388608 2687184 3582912 4777216 5374368 7165824 10748736 14331648 18828949 21497472 37657898 42994944 56486847 75315796 112973694 150631592 169460541 225947388 301263184 338921082 451894776 602526368 677842164 903789552 1205052736 1355684328 1807579104 2410105472 2711368656 3615158208 4820210944 5422737312 7230316416 10845474624 14460632832 21690949248 43381898496