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1116934640640 = 2103257132337313
BaseRepresentation
bin10000010000001110011…
…111100001010000000000
310221210000002120122110100
4100100032133201100000
5121244440232000030
62213040201402400
7143460452540460
oct20201637412000
93853002518410
101116934640640
113a0764539175
12160577199400
13814323961b0
143c0ba611ba0
151e0c2567360
hex1040e7e1400

1116934640640 has 2112 divisors, whose sum is σ = 5121002105856. Its totient is φ = 218621804544.

The previous prime is 1116934640639. The next prime is 1116934640641. The reversal of 1116934640640 is 460464396111.

1116934640640 is a `hidden beast` number, since 1 + 1 + 169 + 3 + 46 + 406 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1116934640639) and next prime (1116934640641).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116934640641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3568481124 + ... + 3568481436.

Almost surely, 21116934640640 is an apocalyptic number.

1116934640640 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 1116934640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560501052928).

1116934640640 is an abundant number, since it is smaller than the sum of its proper divisors (4004067465216).

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

1116934640640 is a wasteful number, since it uses less digits than its factorization.

1116934640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1116934640640 in words is "one trillion, one hundred sixteen billion, nine hundred thirty-four million, six hundred forty thousand, six hundred forty".