Search a number
-
+
9969779028 = 22311219389929
BaseRepresentation
bin10010100100011111…
…01100000101010100
3221201210220020202010
421102033230011110
5130404230412103
64325142544220
7502026503106
oct112217540524
927653806663
109969779028
114256753600
121b22a38070
13c2b668a41
146a8137576
153d53dd903
hex2523ec154

9969779028 has 144 divisors (see below), whose sum is σ = 27013896000. Its totient is φ = 2851706880.

The previous prime is 9969779023. The next prime is 9969779089. The reversal of 9969779028 is 8209779699.

9969779028 is a nontrivial binomial coefficient, being equal to C(141208, 2).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 9969779028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9969779023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10731268 + ... + 10732196.

It is an arithmetic number, because the mean of its divisors is an integer number (187596500).

Almost surely, 29969779028 is an apocalyptic number.

9969779028 is the 141207-th triangular number and also the 70604-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9969779028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506948000).

9969779028 is an abundant number, since it is smaller than the sum of its proper divisors (17044116972).

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

9969779028 is a wasteful number, since it uses less digits than its factorization.

9969779028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 66.

The square root of 9969779028 is about 99848.7808037735. The cubic root of 9969779028 is about 2152.2621963828.

The spelling of 9969779028 in words is "nine billion, nine hundred sixty-nine million, seven hundred seventy-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 389 418 484 627 726 778 836 929 1167 1254 1452 1556 1858 2299 2334 2508 2787 3716 4279 4598 4668 5574 6897 7391 8558 9196 10219 11148 12837 13794 14782 17116 17651 20438 22173 25674 27588 29564 30657 35302 40876 44346 47069 51348 52953 61314 70604 81301 88692 94138 105906 112409 122628 141207 162602 188276 194161 211812 224818 243903 282414 325204 337227 361381 388322 449636 487806 564828 582483 674454 722762 776644 894311 975612 1084143 1164966 1348908 1445524 1788622 2135771 2168286 2329932 2682933 3577244 3975191 4271542 4336572 5365866 6407313 6866239 7950382 8543084 10731732 11925573 12814626 13732478 15900764 20598717 23851146 25629252 27464956 41197434 43727101 47702292 75528629 82394868 87454202 131181303 151057258 174908404 226585887 262362606 302114516 453171774 524725212 830814919 906343548 1661629838 2492444757 3323259676 4984889514 9969779028