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1643143920000 = 27354112327061
BaseRepresentation
bin10111111010010011000…
…000100111100110000000
312211002020112011200221020
4113322103000213212000
5203410124320420000
63254503324425440
7226466431605252
oct27722300474600
95732215150836
101643143920000
115839429a7120
122265516a8280
13bbc4244049b
1459758645cd2
152cb1e0dcba0
hex17e93027980

1643143920000 has 640 divisors, whose sum is σ = 6208741566720. Its totient is φ = 381004800000.

The previous prime is 1643143919999. The next prime is 1643143920091. The reversal of 1643143920000 is 293413461.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60706470 + ... + 60733530.

It is an arithmetic number, because the mean of its divisors is an integer number (9701158698).

Almost surely, 21643143920000 is an apocalyptic number.

1643143920000 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 1643143920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104370783360).

1643143920000 is an abundant number, since it is smaller than the sum of its proper divisors (4565597646720).

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

1643143920000 is a wasteful number, since it uses less digits than its factorization.

1643143920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27132 (or 27105 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 1643143920000 in words is "one trillion, six hundred forty-three billion, one hundred forty-three million, nine hundred twenty thousand".