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83047273920 = 263351317233161
BaseRepresentation
bin100110101011000000…
…0001101010111000000
321221100201002121222000
41031112000031113000
52330040100231140
6102052411144000
75666663116062
oct1152600152700
9257321077860
1083047273920
1132247026086
1214118445000
137aa655b990
14403b769732
152260c9ea30
hex135600d5c0

83047273920 has 1792 divisors, whose sum is σ = 365736591360. Its totient is φ = 17517772800.

The previous prime is 83047273873. The next prime is 83047273927. The reversal of 83047273920 is 2937274038.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83047273927) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1361430690 + ... + 1361430750.

It is an arithmetic number, because the mean of its divisors is an integer number (204094080).

Almost surely, 283047273920 is an apocalyptic number.

83047273920 is a gapful number since it is divisible by the number (80) 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 83047273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182868295680).

83047273920 is an abundant number, since it is smaller than the sum of its proper divisors (282689317440).

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

83047273920 is a wasteful number, since it uses less digits than its factorization.

83047273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 83047273920 in words is "eighty-three billion, forty-seven million, two hundred seventy-three thousand, nine hundred twenty".