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1780450234368 = 2123131931127149
BaseRepresentation
bin11001111010001011000…
…110101001000000000000
320022012122122020011122220
4121322023012221000000
5213132330224444433
63441532203331040
7242430134200551
oct31721306510000
96265578204586
101780450234368
116270a2817393
12249091220a80
13cbb84c19b50
1462262206328
15314a85c52b3
hex19e8b1a9000

1780450234368 has 832 divisors, whose sum is σ = 5636456448000. Its totient is φ = 494956707840.

The previous prime is 1780450234363. The next prime is 1780450234379. The reversal of 1780450234368 is 8634320540871.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×17804502343682 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1780450234368.

It is not an unprimeable number, because it can be changed into a prime (1780450234363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11949330358 + ... + 11949330506.

Almost surely, 21780450234368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1780450234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818228224000).

1780450234368 is an abundant number, since it is smaller than the sum of its proper divisors (3856006213632).

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

1780450234368 is a wasteful number, since it uses less digits than its factorization.

1780450234368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 1780450234368 in words is "one trillion, seven hundred eighty billion, four hundred fifty million, two hundred thirty-four thousand, three hundred sixty-eight".