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1113763678020 = 2232572232238709
BaseRepresentation
bin10000001101010001011…
…111010000011101000100
310221110211002212001111100
4100031101133100131010
5121221442000144040
62211353404540100
7143316050026500
oct20152137203504
93843732761440
101113763678020
1139a387619004
1215ba31251630
1381048453456
143bc99425300
151de88ea2b30
hex103517d0744

1113763678020 has 324 divisors, whose sum is σ = 4108310338860. Its totient is φ = 243505075968.

The previous prime is 1113763677977. The next prime is 1113763678021. The reversal of 1113763678020 is 208763673111.

1113763678020 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 7 + 636 + 7 + 8 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 500007380544 + 613756297476 = 707112^2 + 783426^2 .

It is a super-2 number, since 2×11137636780202 (a number of 25 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 (1113763678021) 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 107 ways as a sum of consecutive naturals, for example, 4546426 + ... + 4785134.

Almost surely, 21113763678020 is an apocalyptic number.

1113763678020 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 1113763678020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054155169430).

1113763678020 is an abundant number, since it is smaller than the sum of its proper divisors (2994546660840).

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

1113763678020 is a wasteful number, since it uses less digits than its factorization.

1113763678020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238784 (or 238749 counting only the distinct ones).

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

The spelling of 1113763678020 in words is "one trillion, one hundred thirteen billion, seven hundred sixty-three million, six hundred seventy-eight thousand, twenty".