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107674301280 = 253572132361251
BaseRepresentation
bin110010001000111100…
…0110111001101100000
3101021221000012020111110
41210101320313031200
53231004110120110
6121244225543320
710531161313500
oct1442170671540
9337830166443
10107674301280
1141734377257
1218a4baa4b40
13a1cc727810
1452d6385a00
152c02d4ba20
hex1911e37360

107674301280 has 1152 divisors, whose sum is σ = 452437042176. Its totient is φ = 21288960000.

The previous prime is 107674301269. The next prime is 107674301359. The reversal of 107674301280 is 82103476701.

It is a super-2 number, since 2×1076743012802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 428981155 + ... + 428981405.

It is an arithmetic number, because the mean of its divisors is an integer number (392740488).

Almost surely, 2107674301280 is an apocalyptic number.

107674301280 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 107674301280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226218521088).

107674301280 is an abundant number, since it is smaller than the sum of its proper divisors (344762740896).

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

107674301280 is a wasteful number, since it uses less digits than its factorization.

107674301280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

Adding to 107674301280 its reverse (82103476701), we get a palindrome (189777777981).

The spelling of 107674301280 in words is "one hundred seven billion, six hundred seventy-four million, three hundred one thousand, two hundred eighty".