Search a number
-
+
2156432325564 = 22311792027102019
BaseRepresentation
bin11111011000010101011…
…000011111101110111100
321122011010110212100200210
4133120111120133232330
5240312333133404224
64330352404352420
7311540255222046
oct37302530375674
97564113770623
102156432325564
117615a0914380
122a9b209a5710
1312847362b51a
147652c62aa96
153b161641429
hex1f61561fbbc

2156432325564 has 96 divisors (see below), whose sum is σ = 5561379532800. Its totient is φ = 644868020160.

The previous prime is 2156432325533. The next prime is 2156432325583. The reversal of 2156432325564 is 4655232346512.

It is a super-2 number, since 2×21564323255642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21086547 + ... + 21188565.

It is an arithmetic number, because the mean of its divisors is an integer number (57931036800).

Almost surely, 22156432325564 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 2156432325564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780689766400).

2156432325564 is an abundant number, since it is smaller than the sum of its proper divisors (3404947207236).

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

2156432325564 is a wasteful number, since it uses less digits than its factorization.

2156432325564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104143 (or 104141 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 48.

The spelling of 2156432325564 in words is "two trillion, one hundred fifty-six billion, four hundred thirty-two million, three hundred twenty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2027 2607 3476 4054 5214 6081 8108 10428 12162 22297 24324 44594 66891 89188 102019 133782 160133 204038 267564 306057 320266 408076 480399 612114 640532 960798 1122209 1224228 1761463 1921596 2244418 3366627 3522926 4488836 5284389 6733254 7045852 8059501 10568778 13466508 16119002 21137556 24178503 32238004 48357006 88654511 96714012 177309022 206792513 265963533 354618044 413585026 531927066 620377539 827170052 1063854132 1240755078 2274717643 2481510156 4549435286 6824152929 9098870572 13648305858 16336608527 27296611716 32673217054 49009825581 65346434108 98019651162 179702693797 196039302324 359405387594 539108081391 718810775188 1078216162782 2156432325564