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111007292340672 = 263272136789113449
BaseRepresentation
bin11001001111010111100110…
…001110100011100111000000
3112120001012020001210111101200
4121033113212032203213000
5104022220413314400142
61032032013542301200
732245004121244200
oct3117274616434700
9476035201714350
10111007292340672
1132408a23632612
1210549b59727800
1349c2c342bb680
141d5aad2a82400
15cc784b28c64c
hex64f5e63a39c0

111007292340672 has 2016 divisors, whose sum is σ = 413636402088000. Its totient is φ = 28200344223744.

The previous prime is 111007292340641. The next prime is 111007292340701. The reversal of 111007292340672 is 276043292700111.

111007292340672 is a `hidden beast` number, since 1 + 1 + 10 + 0 + 7 + 292 + 340 + 6 + 7 + 2 = 666.

111007292340672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×1110072923406723 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 247232276704 + ... + 247232277152.

It is an arithmetic number, because the mean of its divisors is an integer number (205176786750).

Almost surely, 2111007292340672 is an apocalyptic number.

111007292340672 is a gapful number since it is divisible by the number (12) 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 111007292340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206818201044000).

111007292340672 is an abundant number, since it is smaller than the sum of its proper divisors (302629109747328).

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

111007292340672 is a wasteful number, since it uses less digits than its factorization.

111007292340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 111007292340672 in words is "one hundred eleven trillion, seven billion, two hundred ninety-two million, three hundred forty thousand, six hundred seventy-two".