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4122874512 = 24333129931
BaseRepresentation
bin1111010110111110…
…0001001010010000
3101122022220201121000
43311233201022100
531420423441022
61521035302000
7204111566211
oct36557411220
911568821530
104122874512
111826289709
129708aa900
13509213b23
142b17bb408
15191e476ac
hexf5be1290

4122874512 has 120 divisors (see below), whose sum is σ = 12229470240. Its totient is φ = 1329825600.

The previous prime is 4122874501. The next prime is 4122874549. The reversal of 4122874512 is 2154782214.

4122874512 is a `hidden beast` number, since 4 + 122 + 87 + 451 + 2 = 666.

4122874512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410187 + ... + 420117.

It is an arithmetic number, because the mean of its divisors is an integer number (101912252).

Almost surely, 24122874512 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 4122874512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114735120).

4122874512 is an abundant number, since it is smaller than the sum of its proper divisors (8106595728).

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

4122874512 is a wasteful number, since it uses less digits than its factorization.

4122874512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010 (or 9967 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 4122874512 is about 64209.6138596083. The cubic root of 4122874512 is about 1603.4916600675.

The spelling of 4122874512 in words is "four billion, one hundred twenty-two million, eight hundred seventy-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 961 1116 1488 1674 1922 2232 2883 3348 3844 4464 5766 6696 7688 8649 9931 11532 13392 15376 17298 19862 23064 25947 29793 34596 39724 46128 51894 59586 69192 79448 89379 103788 119172 138384 158896 178758 207576 238344 268137 307861 357516 415152 476688 536274 615722 715032 923583 1072548 1231444 1430064 1847166 2145096 2462888 2770749 3694332 4290192 4925776 5541498 7388664 8312247 9543691 11082996 14777328 16624494 19087382 22165992 28631073 33248988 38174764 44331984 57262146 66497976 76349528 85893219 114524292 132995952 152699056 171786438 229048584 257679657 343572876 458097168 515359314 687145752 1030718628 1374291504 2061437256 4122874512