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2143916501004 = 2233251457173059
BaseRepresentation
bin11111001100101011011…
…000011010100000001100
321120221211020010121002000
4133030223120122200030
5240111220111013004
64320522431032300
7310615151402445
oct37145330324014
97527736117060
102143916501004
11757258a78113
122a760936b690
1312722a660b85
1475aa22d82cc
153ab7c97dc39
hex1f32b61a80c

2143916501004 has 96 divisors (see below), whose sum is σ = 5592690028800. Its totient is φ = 710230032000.

The previous prime is 2143916500951. The next prime is 2143916501081. The reversal of 2143916501004 is 4001056193412.

It is a happy number.

2143916501004 is a `hidden beast` number, since 2 + 143 + 9 + 1 + 6 + 501 + 0 + 0 + 4 = 666.

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 2143916501004.

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 31 ways as a sum of consecutive naturals, for example, 12301827 + ... + 12474885.

It is an arithmetic number, because the mean of its divisors is an integer number (58257187800).

Almost surely, 22143916501004 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 2143916501004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796345014400).

2143916501004 is an abundant number, since it is smaller than the sum of its proper divisors (3448773527796).

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

2143916501004 is a wasteful number, since it uses less digits than its factorization.

2143916501004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173780 (or 173772 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2143916501004 in words is "two trillion, one hundred forty-three billion, nine hundred sixteen million, five hundred one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 457 502 753 914 1004 1371 1506 1828 2259 2742 3012 4113 4518 5484 6777 8226 9036 12339 13554 16452 24678 27108 49356 114707 173059 229414 344121 346118 458828 519177 688242 692236 1032363 1038354 1376484 1557531 2064726 2076708 3097089 3115062 4129452 4672593 6194178 6230124 9345186 12388356 18690372 43437809 79087963 86875618 130313427 158175926 173751236 237263889 260626854 316351852 390940281 474527778 521253708 711791667 781880562 949055556 1172820843 1423583334 1563761124 2135375001 2345641686 2847166668 4270750002 4691283372 8541500004 19851078713 39702157426 59553236139 79404314852 119106472278 178659708417 238212944556 357319416834 535979125251 714638833668 1071958250502 2143916501004