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104157049651200 = 217335271317761
BaseRepresentation
bin10111101011101011110011…
…111100100000000000000000
3111122210022112212122010112000
4113223223303330200000000
5102123002114202314300
61005305031003504000
730640045534151520
oct2753536374400000
9448708485563460
10104157049651200
1130207836183207
12b822401228000
134616c76b8c470
141ba1329ca5680
15c0956d1cec00
hex5ebaf3f20000

104157049651200 has 3456 divisors, whose sum is σ = 499350454525440. Its totient is φ = 20656108339200.

The previous prime is 104157049651181. The next prime is 104157049651201. The reversal of 104157049651200 is 2156940751401.

104157049651200 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 570 + 4 + 9 + 6 + 51 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×1041570496512002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104157049651201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136868658820 + ... + 136868659580.

It is an arithmetic number, because the mean of its divisors is an integer number (144487978740).

Almost surely, 2104157049651200 is an apocalyptic number.

104157049651200 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 104157049651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249675227262720).

104157049651200 is an abundant number, since it is smaller than the sum of its proper divisors (395193404874240).

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

104157049651200 is an equidigital number, since it uses as much as digits as its factorization.

104157049651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 104157049651200 in words is "one hundred four trillion, one hundred fifty-seven billion, forty-nine million, six hundred fifty-one thousand, two hundred".