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997387776000 = 2123353711937
BaseRepresentation
bin11101000001110001111…
…00011011000000000000
310112100102200001200211000
432200320330123000000
5112320122232313000
62042105453252000
7132026125133430
oct16407074330000
93470380050730
10997387776000
11354a98441390
12141373194000
1373090035975
14363b95422c0
151ae2726e000
hexe838f1b000

997387776000 has 1664 divisors, whose sum is σ = 4602518968320. Its totient is φ = 207028224000.

The previous prime is 997387775971. The next prime is 997387776041. The reversal of 997387776000 is 677783799.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1064447532 + ... + 1064448468.

It is an arithmetic number, because the mean of its divisors is an integer number (2765936880).

Almost surely, 2997387776000 is an apocalyptic number.

997387776000 is a gapful number since it is divisible by the number (90) 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 997387776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301259484160).

997387776000 is an abundant number, since it is smaller than the sum of its proper divisors (3605131192320).

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

997387776000 is a wasteful number, since it uses less digits than its factorization.

997387776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 997387776000 in words is "nine hundred ninety-seven billion, three hundred eighty-seven million, seven hundred seventy-six thousand".