Search a number
-
+
157216205300 = 225271140949921
BaseRepresentation
bin1001001001101011010…
…0001110100111110100
3120000210200000201120112
42102122310032213310
510033434322032200
6200120224522152
714233651460450
oct2223264164764
9500720021515
10157216205300
11607474a3a90
1226577480358
1311a965c481b
147875d0b660
1541523a4535
hex249ad0e9f4

157216205300 has 144 divisors (see below), whose sum is σ = 426389792640. Its totient is φ = 48881664000.

The previous prime is 157216205281. The next prime is 157216205327. The reversal of 157216205300 is 3502612751.

157216205300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3124340 + ... + 3174260.

Almost surely, 2157216205300 is an apocalyptic number.

157216205300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157216205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213194896320).

157216205300 is an abundant number, since it is smaller than the sum of its proper divisors (269173587340).

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

157216205300 is a wasteful number, since it uses less digits than its factorization.

157216205300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50362 (or 50355 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 157216205300 in words is "one hundred fifty-seven billion, two hundred sixteen million, two hundred five thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 409 550 700 770 818 1100 1540 1636 1925 2045 2863 3850 4090 4499 5726 7700 8180 8998 10225 11452 14315 17996 20450 22495 28630 31493 40900 44990 49921 57260 62986 71575 89980 99842 112475 125972 143150 157465 199684 224950 249605 286300 314930 349447 449900 499210 549131 629860 698894 787325 998420 1098262 1248025 1397788 1574650 1747235 2196524 2496050 2745655 3149300 3494470 3843917 4992100 5491310 6988940 7687834 8736175 10982620 13728275 15375668 17472350 19219585 20417689 27456550 34944700 38439170 40835378 54913100 76878340 81670756 96097925 102088445 142923823 192195850 204176890 224594579 285847646 384391700 408353780 449189158 510442225 571695292 714619115 898378316 1020884450 1122972895 1429238230 1572162053 2041768900 2245945790 2858476460 3144324106 3573095575 4491891580 5614864475 6288648212 7146191150 7860810265 11229728950 14292382300 15721620530 22459457900 31443241060 39304051325 78608102650 157216205300