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2128403952 = 24353117659
BaseRepresentation
bin111111011011100…
…1101110111110000
312111022222010100000
41332313031313300
513324332411302
6551111030000
7103513064223
oct17667156760
95438863300
102128403952
119a2479434
124b496b300
1327bc5452c
141629615ba
15c6cc831c
hex7edcddf0

2128403952 has 120 divisors (see below), whose sum is σ = 6376814080. Its totient is φ = 686543040.

The previous prime is 2128403951. The next prime is 2128404011. The reversal of 2128403952 is 2593048212.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128403951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111699 + ... + 129357.

Almost surely, 22128403952 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 2128403952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188407040).

2128403952 is an abundant number, since it is smaller than the sum of its proper divisors (4248410128).

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

2128403952 is a wasteful number, since it uses less digits than its factorization.

2128403952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17713 (or 17695 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2128403952 is about 46134.6285559990. The cubic root of 2128403952 is about 1286.3269011983.

The spelling of 2128403952 in words is "two billion, one hundred twenty-eight million, four hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 744 837 972 1116 1296 1488 1674 1944 2232 2511 3348 3888 4464 5022 6696 7533 10044 13392 15066 17659 20088 30132 35318 40176 52977 60264 70636 105954 120528 141272 158931 211908 282544 317862 423816 476793 547429 635724 847632 953586 1094858 1271448 1430379 1642287 1907172 2189716 2542896 2860758 3284574 3814344 4291137 4379432 4926861 5721516 6569148 7628688 8582274 8758864 9853722 11443032 13138296 14780583 17164548 19707444 22886064 26276592 29561166 34329096 39414888 44341749 59122332 68658192 78829776 88683498 118244664 133025247 177366996 236489328 266050494 354733992 532100988 709467984 1064201976 2128403952