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4027029508516 = 2274204772
BaseRepresentation
bin111010100110011101101…
…010011101000110100100
3112020222110121111000001011
4322212131222131012210
51011434324023233031
612321554122112004
7563641355020000
oct72463552350644
915228417430034
104027029508516
11131294319a463
1255057004b604
1323299393b661
14dcca3063700
156eb43e1d6b1
hex3a99da9d1a4

4027029508516 has 45 divisors (see below), whose sum is σ = 8221764233249. Its totient is φ = 1725785506032.

The previous prime is 4027029508423. The next prime is 4027029508531. The reversal of 4027029508516 is 6158059207204.

The square root of 4027029508516 is 2006746.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3169005228900 + 858024279616 = 1780170^2 + 926296^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 4027029508516.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 196650870 + ... + 196671346.

Almost surely, 24027029508516 is an apocalyptic number.

4027029508516 is the 2006746-th square number.

It is an amenable number.

4027029508516 is an abundant number, since it is smaller than the sum of its proper divisors (4194734724733).

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

4027029508516 is an frugal number, since it uses more digits than its factorization.

4027029508516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40986 (or 20486 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 4027029508516 by its sum of digits (49), we get a square (197324445917284 = 140472222).

4027029508516 divided by its sum of digits (49) gives a square (82184275684 = 2866782).

The spelling of 4027029508516 in words is "four trillion, twenty-seven billion, twenty-nine million, five hundred eight thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 9604 20477 40954 81908 143339 286678 573356 1003373 2006746 4013492 7023611 14047222 28094444 49165277 98330554 196661108 419307529 838615058 1677230116 2935152703 5870305406 11740610812 20546068921 41092137842 82184275684 143822482447 287644964894 575289929788 1006757377129 2013514754258 4027029508516