Search a number
-
+
16512172716 = 223132611271051
BaseRepresentation
bin11110110000011001…
…11100001010101100
31120121202120021200110
433120030330022230
5232304104011331
611330253100020
71123121103144
oct173014741254
946552507613
1016512172716
117003766836
123249a87610
131731c10b00
14b28db5924
15669965946
hex3d833c2ac

16512172716 has 144 divisors (see below), whose sum is σ = 42778595328. Its totient is φ = 4953312000.

The previous prime is 16512172711. The next prime is 16512172717. The reversal of 16512172716 is 61727121561.

16512172716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16512172711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15710391 + ... + 15711441.

Almost surely, 216512172716 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 16512172716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21389297664).

16512172716 is an abundant number, since it is smaller than the sum of its proper divisors (26266422612).

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

16512172716 is a wasteful number, since it uses less digits than its factorization.

16512172716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1257 counting only the distinct ones).

The product of its digits is 35280, while the sum is 39.

The spelling of 16512172716 in words is "sixteen billion, five hundred twelve million, one hundred seventy-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 127 156 169 183 244 254 338 366 381 507 508 676 732 762 793 1014 1051 1524 1586 1651 2028 2102 2379 3153 3172 3302 4204 4758 4953 6306 6604 7747 9516 9906 10309 12612 13663 15494 19812 20618 21463 23241 27326 30927 30988 40989 41236 42926 46482 54652 61854 64111 64389 81978 85852 92964 100711 123708 128222 128778 133477 163956 177619 192333 201422 256444 257556 266954 302133 355238 384666 400431 402844 532857 533908 604266 710476 769332 800862 833443 1065714 1208532 1309243 1601724 1666886 1735201 2131428 2500329 2618486 3333772 3470402 3927729 5000658 5205603 5236972 6940804 7855458 8142097 10001316 10411206 10834759 15710916 16284194 20822412 21669518 22557613 24426291 32504277 32568388 43339036 45115226 48852582 65008554 67672839 90230452 97705164 105847261 130017108 135345678 211694522 270691356 317541783 423389044 635083566 1270167132 1376014393 2752028786 4128043179 5504057572 8256086358 16512172716