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12534160330400 = 255253569292477
BaseRepresentation
bin1011011001100101011000…
…1011001000111010100000
31122101020212011222101211012
42312121112023020322200
53120324430021033100
642354040323440052
72432364114631022
oct266312613107240
948336764871735
1012534160330400
113aa2786818115
1214a5254b26028
136cbc73acc0c7
143149299b8012
1516b097a23135
hexb66562c8ea0

12534160330400 has 72 divisors (see below), whose sum is σ = 30599694736380. Its totient is φ = 5013553397760.

The previous prime is 12534160330397. The next prime is 12534160330441. The reversal of 12534160330400 is 403306143521.

It can be written as a sum of positive squares in 6 ways, for example, as 760670042896 + 11773490287504 = 872164^2 + 3431252^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 42708962 + ... + 43001438.

Almost surely, 212534160330400 is an apocalyptic number.

12534160330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12534160330400 is an abundant number, since it is smaller than the sum of its proper divisors (18065534405980).

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

12534160330400 is a wasteful number, since it uses less digits than its factorization.

12534160330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346066 (or 346053 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 12534160330400 its reverse (403306143521), we get a palindrome (12937466473921).

The spelling of 12534160330400 in words is "twelve trillion, five hundred thirty-four billion, one hundred sixty million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 53569 107138 214276 267845 292477 428552 535690 584954 857104 1071380 1169908 1339225 1462385 1714208 2142760 2339816 2678450 2924770 4285520 4679632 5356900 5849540 7311925 8571040 9359264 10713800 11699080 14623850 21427600 23398160 29247700 42855200 46796320 58495400 116990800 233981600 15667700413 31335400826 62670801652 78338502065 125341603304 156677004130 250683206608 313354008260 391692510325 501366413216 626708016520 783385020650 1253416033040 1566770041300 2506832066080 3133540082600 6267080165200 12534160330400