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2030155776 = 2113211171931
BaseRepresentation
bin111100100000001…
…1011100000000000
312020111002121011200
41321000123200000
513124204441101
6533241141200
7101211016335
oct17100334000
95214077150
102030155776
11951a740a0
12487a8a800
132647a520c
141538a898c
15bd36c986
hex7901b800

2030155776 has 576 divisors, whose sum is σ = 7359206400. Its totient is φ = 530841600.

The previous prime is 2030155739. The next prime is 2030155801. The reversal of 2030155776 is 6775510302.

2030155776 is a `hidden beast` number, since 2 + 0 + 30 + 1 + 557 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2030155776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65488881 + ... + 65488911.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 22030155776 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 2030155776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679603200).

2030155776 is an abundant number, since it is smaller than the sum of its proper divisors (5329050624).

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

2030155776 is a wasteful number, since it uses less digits than its factorization.

2030155776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 2030155776 is about 45057.2499826609. The cubic root of 2030155776 is about 1266.2218040132.

The spelling of 2030155776 in words is "two billion, thirty million, one hundred fifty-five thousand, seven hundred seventy-six".