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2134828764 = 223331532227
BaseRepresentation
bin111111100111110…
…1110011011011100
312111210001112112000
41333033232123130
513333004010024
6551500442300
7103621513365
oct17717563334
95453045460
102134828764
119a60674a2
124b6b49390
132803939b3
14163754b6c
15c7646cc9
hex7f3ee6dc

2134828764 has 144 divisors (see below), whose sum is σ = 5848765440. Its totient is φ = 672684480.

The previous prime is 2134828757. The next prime is 2134828811. The reversal of 2134828764 is 4678284312.

It is a happy number.

2134828764 is a `hidden beast` number, since 21 + 348 + 287 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9404419 + ... + 9404645.

Almost surely, 22134828764 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 2134828764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924382720).

2134828764 is an abundant number, since it is smaller than the sum of its proper divisors (3713936676).

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

2134828764 is a wasteful number, since it uses less digits than its factorization.

2134828764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 316 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2134828764 is about 46204.2072110322. The cubic root of 2134828764 is about 1287.6199055576.

The spelling of 2134828764 in words is "two billion, one hundred thirty-four million, eight hundred twenty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 53 54 62 93 106 108 124 159 186 212 227 279 318 372 454 477 558 636 681 837 908 954 1116 1362 1431 1643 1674 1908 2043 2724 2809 2862 3286 3348 4086 4929 5618 5724 6129 6572 7037 8172 8427 9858 11236 12031 12258 14074 14787 16854 19716 21111 24062 24516 25281 28148 29574 33708 36093 42222 44361 48124 50562 59148 63333 72186 75843 84444 87079 88722 101124 108279 126666 144372 151686 174158 177444 189999 216558 253332 261237 303372 324837 348316 372961 379998 433116 522474 637643 649674 745922 759996 783711 1044948 1118883 1275286 1299348 1491844 1567422 1912929 2237766 2351133 2550572 3134844 3356649 3825858 4475532 4702266 5738787 6713298 7651716 9404532 10069947 11477574 13426596 17216361 19766933 20139894 22955148 34432722 39533866 40279788 59300799 68865444 79067732 118601598 177902397 237203196 355804794 533707191 711609588 1067414382 2134828764