Search a number
-
+
16872332544 = 283213753453
BaseRepresentation
bin11111011011010101…
…10101110100000000
31121112212021022002100
433231222311310000
5234023304120134
611430120350400
71135053313614
oct175552656400
947485238070
1016872332544
117178aa0191
12332a615400
13178b713532
14b60b69344
1568b3a9999
hex3edab5d00

16872332544 has 108 divisors (see below), whose sum is σ = 49003099236. Its totient is φ = 5582954496.

The previous prime is 16872332513. The next prime is 16872332551. The reversal of 16872332544 is 44523327861.

16872332544 is a `hidden beast` number, since 1 + 6 + 8 + 72 + 3 + 32 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10064102400 + 6808230144 = 100320^2 + 82512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16872332544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288922 + ... + 342374.

Almost surely, 216872332544 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 16872332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24501549618).

16872332544 is an abundant number, since it is smaller than the sum of its proper divisors (32130766692).

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

16872332544 is a wasteful number, since it uses less digits than its factorization.

16872332544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53612 (or 53595 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 16872332544 in words is "sixteen billion, eight hundred seventy-two million, three hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 548 576 768 822 1096 1152 1233 1644 2192 2304 2466 3288 4384 4932 6576 8768 9864 13152 17536 19728 26304 35072 39456 52608 53453 78912 105216 106906 157824 160359 213812 315648 320718 427624 481077 641436 855248 962154 1282872 1710496 1924308 2565744 3420992 3848616 5131488 6841984 7323061 7697232 10262976 13683968 14646122 15394464 20525952 21969183 29292244 30788928 41051904 43938366 58584488 61577856 65907549 87876732 117168976 123155712 131815098 175753464 234337952 263630196 351506928 468675904 527260392 703013856 937351808 1054520784 1406027712 1874703616 2109041568 2812055424 4218083136 5624110848 8436166272 16872332544