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1136145840984 = 23367211361433
BaseRepresentation
bin10000100010000111100…
…100011011101101011000
311000121120221211202000000
4100202013210123231120
5122103311313402414
62225534352213000
7145040516210100
oct20420744335530
94017527752000
101136145840984
113a8922787350
12164238b3a160
13831a450cc6b
143cdbdc46200
151e848e1eb09
hex1088791bb58

1136145840984 has 336 divisors, whose sum is σ = 4053185934120. Its totient is φ = 295101999360.

The previous prime is 1136145840979. The next prime is 1136145840989. The reversal of 1136145840984 is 4890485416311.

1136145840984 is a `hidden beast` number, since 1 + 1 + 3 + 61 + 458 + 40 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1136145840979) and next prime (1136145840989).

It is a super-2 number, since 2×11361458409842 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1136145840984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136145840989) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2962732 + ... + 3324164.

Almost surely, 21136145840984 is an apocalyptic number.

1136145840984 is a gapful number since it is divisible by the number (14) 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 1136145840984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026592967060).

1136145840984 is an abundant number, since it is smaller than the sum of its proper divisors (2917040093136).

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

1136145840984 is a wasteful number, since it uses less digits than its factorization.

1136145840984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361482 (or 361456 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1136145840984 in words is "one trillion, one hundred thirty-six billion, one hundred forty-five million, eight hundred forty thousand, nine hundred eighty-four".