Search a number
-
+
99876036780 = 2232513103414389
BaseRepresentation
bin101110100000100010…
…0110110000010101100
3100112210112101100200100
41131001010312002230
53114021231134110
6113514334031100
710134010206462
oct1350104660254
9315715340610
1099876036780
11393a2467763
1217434348490
139558c28920
144b967d2832
1528e83eebc0
hex17411360ac

99876036780 has 144 divisors (see below), whose sum is σ = 329430104640. Its totient is φ = 24346123776.

The previous prime is 99876036739. The next prime is 99876036781. The reversal of 99876036780 is 8763067899.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99876036781) 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, 33826 + ... + 448214.

It is an arithmetic number, because the mean of its divisors is an integer number (2287709060).

Almost surely, 299876036780 is an apocalyptic number.

99876036780 is a gapful number since it is divisible by the number (90) 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 99876036780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164715052320).

99876036780 is an abundant number, since it is smaller than the sum of its proper divisors (229554067860).

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

99876036780 is a wasteful number, since it uses less digits than its factorization.

99876036780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414520 (or 414515 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 99876036780 in words is "ninety-nine billion, eight hundred seventy-six million, thirty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 103 117 130 156 180 195 206 234 260 309 390 412 468 515 585 618 780 927 1030 1170 1236 1339 1545 1854 2060 2340 2678 3090 3708 4017 4635 5356 6180 6695 8034 9270 12051 13390 16068 18540 20085 24102 26780 40170 48204 60255 80340 120510 241020 414389 828778 1243167 1657556 2071945 2486334 3729501 4143890 4972668 5387057 6215835 7459002 8287780 10774114 12431670 14918004 16161171 18647505 21548228 24863340 26935285 32322342 37295010 42682067 48483513 53870570 64644684 74590020 80805855 85364134 96967026 107741140 128046201 161611710 170728268 193934052 213410335 242417565 256092402 323223420 384138603 426820670 484835130 512184804 554866871 640231005 768277206 853641340 969670260 1109733742 1280462010 1536554412 1664600613 1920693015 2219467484 2560924020 2774334355 3329201226 3841386030 4993801839 5548668710 6658402452 7682772060 8323003065 9987603678 11097337420 16646006130 19975207356 24969009195 33292012260 49938018390 99876036780