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115669378746072 = 23321998072960549
BaseRepresentation
bin11010010011001101100000…
…001110110100011011011000
3120011112212212212212102201100
4122103031200032310123120
5110130111341424333242
61050001440133551400
733235560014656524
oct3223154016643330
9504485785772640
10115669378746072
1133946120898018
1210b81600aa5560
134c7076380c898
14207c5dbc66d84
15d58c5ca9754c
hex6933603b46d8

115669378746072 has 48 divisors (see below), whose sum is σ = 314845461450000. Its totient is φ = 38362708524096.

The previous prime is 115669378746059. The next prime is 115669378746083. The reversal of 115669378746072 is 270647873966511.

115669378746072 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 6 + 9 + 3 + 7 + 8 + 7 + 4 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 4036465947 + ... + 4036494602.

It is an arithmetic number, because the mean of its divisors is an integer number (6559280446875).

It is a 1-persistent number, because it is pandigital, but 2⋅115669378746072 = 231338757492144 is not.

Almost surely, 2115669378746072 is an apocalyptic number.

115669378746072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

115669378746072 is an abundant number, since it is smaller than the sum of its proper divisors (199176082703928).

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

115669378746072 is a wasteful number, since it uses less digits than its factorization.

115669378746072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8072960760 (or 8072960753 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 115669378746072 in words is "one hundred fifteen trillion, six hundred sixty-nine billion, three hundred seventy-eight million, seven hundred forty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328 8072960549 16145921098 24218881647 32291842196 48437763294 64583684392 72656644941 96875526588 145313289882 193751053176 290626579764 581253159528 1606519149251 3213038298502 4819557447753 6426076597004 9639114895506 12852153194008 14458672343259 19278229791012 28917344686518 38556459582024 57834689373036 115669378746072