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2070858216 = 233729214657
BaseRepresentation
bin111101101101110…
…1100100111101000
312100022200111102110
41323123230213220
513220114430331
6541253402320
7102214001340
oct17333544750
95308614373
102070858216
11972a44479
124996393a0
132700566bb
14159061d20
15c1c0c946
hex7b6ec9e8

2070858216 has 96 divisors (see below), whose sum is σ = 6128216640. Its totient is φ = 571232256.

The previous prime is 2070858197. The next prime is 2070858239. The reversal of 2070858216 is 6128580702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133960 + ... + 148616.

It is an arithmetic number, because the mean of its divisors is an integer number (63835590).

Almost surely, 22070858216 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 2070858216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064108320).

2070858216 is an abundant number, since it is smaller than the sum of its proper divisors (4057358424).

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

2070858216 is a wasteful number, since it uses less digits than its factorization.

2070858216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14731 (or 14698 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 2070858216 is about 45506.6832014815. The cubic root of 2070858216 is about 1274.6280018943.

The spelling of 2070858216 in words is "two billion, seventy million, eight hundred fifty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 841 1218 1624 1682 2436 2523 3364 4872 5046 5887 6728 10092 11774 14657 17661 20184 23548 29314 35322 43971 47096 58628 70644 87942 102599 117256 141288 175884 205198 307797 351768 410396 425053 615594 820792 850106 1231188 1275159 1700212 2462376 2550318 2975371 3400424 5100636 5950742 8926113 10201272 11901484 12326537 17852226 23802968 24653074 35704452 36979611 49306148 71408904 73959222 86285759 98612296 147918444 172571518 258857277 295836888 345143036 517714554 690286072 1035429108 2070858216