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270450469344 = 253112281112279
BaseRepresentation
bin1111101111100000011…
…0101010100111100000
3221212002011021100010210
43323320012222213200
513412340310004334
6324124312054120
725353005026236
oct3737006524740
9855064240123
10270450469344
11a477426a590
12444b9394340
131c670b99023
14d138878956
15707d3b75e9
hex3ef81aa9e0

270450469344 has 96 divisors (see below), whose sum is σ = 774818231040. Its totient is φ = 81918028800.

The previous prime is 270450469321. The next prime is 270450469409. The reversal of 270450469344 is 443964054072.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 270450469293 and 270450469302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2352597 + ... + 2464875.

It is an arithmetic number, because the mean of its divisors is an integer number (8071023240).

Almost surely, 2270450469344 is an apocalyptic number.

270450469344 is a gapful number since it is divisible by the number (24) 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 270450469344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387409115520).

270450469344 is an abundant number, since it is smaller than the sum of its proper divisors (504367761696).

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

270450469344 is a wasteful number, since it uses less digits than its factorization.

270450469344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114584 (or 114576 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 270450469344 in words is "two hundred seventy billion, four hundred fifty million, four hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2281 4562 6843 9124 13686 18248 25091 27372 36496 50182 54744 72992 75273 100364 109488 112279 150546 200728 218976 224558 301092 336837 401456 449116 602184 673674 802912 898232 1204368 1235069 1347348 1796464 2408736 2470138 2694696 3592928 3705207 4940276 5389392 7410414 9880552 10778784 14820828 19761104 29641656 39522208 59283312 118566624 256108399 512216798 768325197 1024433596 1536650394 2048867192 2817192389 3073300788 4097734384 5634384778 6146601576 8195468768 8451577167 11268769556 12293203152 16903154334 22537539112 24586406304 33806308668 45075078224 67612617336 90150156448 135225234672 270450469344