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5672633340 = 22351183103553
BaseRepresentation
bin1010100100001110…
…11000001111111100
3112122100001122001010
411102013120033330
543104143231330
62334520115220
7260400405423
oct52207301774
915570048033
105672633340
112451065430
121123905b10
136c530879a
143bb5542ba
152330203b0
hex1521d83fc

5672633340 has 96 divisors (see below), whose sum is σ = 17536248576. Its totient is φ = 1358602240.

The previous prime is 5672633327. The next prime is 5672633357. The reversal of 5672633340 is 433362765.

It is a happy number.

It is a congruent number.

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, 3004 + ... + 106556.

It is an arithmetic number, because the mean of its divisors is an integer number (182669256).

Almost surely, 25672633340 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 5672633340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768124288).

5672633340 is an abundant number, since it is smaller than the sum of its proper divisors (11863615236).

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

5672633340 is a wasteful number, since it uses less digits than its factorization.

5672633340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103659 (or 103657 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 39.

The square root of 5672633340 is about 75316.8861544342. The cubic root of 5672633340 is about 1783.4525989665.

The spelling of 5672633340 in words is "five billion, six hundred seventy-two million, six hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 660 830 913 996 1245 1660 1826 2490 2739 3652 4565 4980 5478 9130 10956 13695 18260 27390 54780 103553 207106 310659 414212 517765 621318 1035530 1139083 1242636 1553295 2071060 2278166 3106590 3417249 4556332 5695415 6213180 6834498 8594899 11390830 13668996 17086245 17189798 22781660 25784697 34172490 34379596 42974495 51569394 68344980 85948990 94543889 103138788 128923485 171897980 189087778 257846970 283631667 378175556 472719445 515693940 567263334 945438890 1134526668 1418158335 1890877780 2836316670 5672633340