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9990990870 = 23571492691187
BaseRepresentation
bin10010100111000001…
…00110110000010110
3221210021210220220220
421103200212300112
5130430143201440
64331221335210
7502405010160
oct112340466026
927707726826
109990990870
114267721353
121b29b67506
13c32b84923
146aac99930
153d71cd8d0
hex253826c16

9990990870 has 128 divisors (see below), whose sum is σ = 27713664000. Its totient is φ = 2257992192.

The previous prime is 9990990857. The next prime is 9990990871. The reversal of 9990990870 is 780990999.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990990871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8416417 + ... + 8417603.

It is an arithmetic number, because the mean of its divisors is an integer number (216513000).

Almost surely, 29990990870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9990990870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856832000).

9990990870 is an abundant number, since it is smaller than the sum of its proper divisors (17722673130).

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

9990990870 is a wasteful number, since it uses less digits than its factorization.

9990990870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622.

The product of its (nonzero) digits is 3306744, while the sum is 60.

The square root of 9990990870 is about 99954.9441998744. The cubic root of 9990990870 is about 2153.7875095686.

The spelling of 9990990870 in words is "nine billion, nine hundred ninety million, nine hundred ninety thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 210 269 298 447 538 745 807 894 1043 1187 1345 1490 1614 1883 2086 2235 2374 2690 3129 3561 3766 4035 4470 5215 5649 5935 6258 7122 8070 8309 9415 10430 11298 11870 15645 16618 17805 18830 24927 28245 31290 35610 40081 41545 49854 56490 80162 83090 120243 124635 176863 200405 240486 249270 280567 319303 353726 400810 530589 561134 601215 638606 841701 884315 957909 1061178 1202430 1238041 1402835 1596515 1683402 1768630 1915818 2235121 2476082 2652945 2805670 3193030 3714123 4208505 4470242 4789545 5305890 6190205 6705363 7428246 8417010 9579090 11175605 12380410 13410726 18570615 22351210 33526815 37141230 47576147 67053630 95152294 142728441 237880735 285456882 333033029 475761470 666066058 713642205 999099087 1427284410 1665165145 1998198174 3330330290 4995495435 9990990870