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1156472106048 = 263472173153163
BaseRepresentation
bin10000110101000011000…
…110111110110001000000
311002120001112021222210000
4100311003012332301000
5122421423324343143
62243135334440000
7146360312465100
oct20650306766100
94076045258700
101156472106048
1140650339a116
12168170203000
138509368063c
143dd8b5bb200
1520138636bd3
hex10d431bec40

1156472106048 has 1680 divisors, whose sum is σ = 4468111870464. Its totient is φ = 293462507520.

The previous prime is 1156472106047. The next prime is 1156472106073. The reversal of 1156472106048 is 8406012746511.

1156472106048 is a `hidden beast` number, since 1 + 1 + 564 + 7 + 21 + 0 + 60 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1156472105994 and 1156472106012.

It is not an unprimeable number, because it can be changed into a prime (1156472106047) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 7094920815 + ... + 7094920977.

Almost surely, 21156472106048 is an apocalyptic number.

1156472106048 is a gapful number since it is divisible by the number (18) 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 1156472106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234055935232).

1156472106048 is an abundant number, since it is smaller than the sum of its proper divisors (3311639764416).

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

1156472106048 is a wasteful number, since it uses less digits than its factorization.

1156472106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1156472106048 in words is "one trillion, one hundred fifty-six billion, four hundred seventy-two million, one hundred six thousand, forty-eight".