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1980029045376 = 27335374314549
BaseRepresentation
bin11100110100000010111…
…011011000101010000000
321000021210121222020111000
4130310002323120222000
5224420044413423001
64113340210052000
7263023652122404
oct34640273305200
97007717866430
101980029045376
116a37a8860008
1227b8ab87a000
1311493cbb9065
146bb963a9104
1536789a9ca86
hex1cd02ed8a80

1980029045376 has 256 divisors, whose sum is σ = 5962520160000. Its totient is φ = 646640676864.

The previous prime is 1980029045363. The next prime is 1980029045389. The reversal of 1980029045376 is 6735409200891.

1980029045376 is a `hidden beast` number, since 1 + 9 + 80 + 0 + 29 + 0 + 4 + 537 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1980029045363) and next prime (1980029045389).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 136086550 + ... + 136101098.

It is an arithmetic number, because the mean of its divisors is an integer number (23291094375).

It is a 1-persistent number, because it is pandigital, but 2⋅1980029045376 = 3960058090752 is not.

Almost surely, 21980029045376 is an apocalyptic number.

1980029045376 is a gapful number since it is divisible by the number (16) 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 1980029045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981260080000).

1980029045376 is an abundant number, since it is smaller than the sum of its proper divisors (3982491114624).

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

1980029045376 is a wasteful number, since it uses less digits than its factorization.

1980029045376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15368 (or 15350 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1980029045376 in words is "one trillion, nine hundred eighty billion, twenty-nine million, forty-five thousand, three hundred seventy-six".