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9999966101920 = 255591657639299
BaseRepresentation
bin1001000110000100110001…
…1011010110000110100000
31022101222122211110001101221
42101201030123112012200
52302314412310230140
633133530534304424
72051321324252134
oct221411433260640
938358584401357
109999966101920
113205a64190983
1211560884b8114
13576cba11a1a2
142680028273c4
151251c6e9914a
hex9184c6d61a0

9999966101920 has 96 divisors (see below), whose sum is σ = 24039879192000. Its totient is φ = 3929810835456.

The previous prime is 9999966101911. The next prime is 9999966101953. The reversal of 9999966101920 is 291016699999.

It is a self number, because there is not a number n which added to its sum of digits gives 9999966101920.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15322431 + ... + 15961729.

It is an arithmetic number, because the mean of its divisors is an integer number (250415408250).

Almost surely, 29999966101920 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 9999966101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019939596000).

9999966101920 is an abundant number, since it is smaller than the sum of its proper divisors (14039913090080).

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

9999966101920 is a wasteful number, since it uses less digits than its factorization.

9999966101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641030 (or 641022 counting only the distinct ones).

The product of its (nonzero) digits is 38263752, while the sum is 70.

The spelling of 9999966101920 in words is "nine trillion, nine hundred ninety-nine billion, nine hundred sixty-six million, one hundred one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1657 1888 2360 3314 4720 6628 8285 9440 13256 16570 26512 33140 53024 66280 97763 132560 195526 265120 391052 488815 639299 782104 977630 1278598 1564208 1955260 2557196 3128416 3196495 3910520 5114392 6392990 7821040 10228784 12785980 15642080 20457568 25571960 37718641 51143920 75437282 102287840 150874564 188593205 301749128 377186410 603498256 754372820 1059318443 1206996512 1508745640 2118636886 3017491280 4237273772 5296592215 6034982560 8474547544 10593184430 16949095088 21186368860 33898190176 42372737720 62499788137 84745475440 124999576274 169490950880 249999152548 312498940685 499998305096 624997881370 999996610192 1249995762740 1999993220384 2499991525480 4999983050960 9999966101920