Search a number
-
+
20267376243276 = 22319412239968333
BaseRepresentation
bin1001001101110110111011…
…10000101111001001001100
32122202112122022000222102210
410212323131300233021030
510124030041304241101
6111034412030550420
74161161322421011
oct446733560571114
978675568028383
1020267376243276
11650438957a018
122333b53368410
13b402892aa286
14500d366cb708
152523033e67d6
hex126eddc2f24c

20267376243276 has 96 divisors (see below), whose sum is σ = 51016483123200. Its totient is φ = 6241325806080.

The previous prime is 20267376243271. The next prime is 20267376243311. The reversal of 20267376243276 is 67234267376202.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (20267376243271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20446006 + ... + 21414338.

It is an arithmetic number, because the mean of its divisors is an integer number (531421699200).

Almost surely, 220267376243276 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 20267376243276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25508241561600).

20267376243276 is an abundant number, since it is smaller than the sum of its proper divisors (30749106879924).

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

20267376243276 is a wasteful number, since it uses less digits than its factorization.

20267376243276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970639 (or 970637 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 57.

The spelling of 20267376243276 in words is "twenty trillion, two hundred sixty-seven billion, three hundred seventy-six million, two hundred forty-three thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1558 2239 2337 3116 4478 4674 6717 8956 9348 13434 26868 42541 85082 91799 127623 170164 183598 255246 275397 367196 510492 550794 968333 1101588 1744181 1936666 2904999 3488362 3873332 5232543 5809998 6976724 10465086 11619996 18398327 20930172 36796654 39701653 55194981 73593308 79403306 110389962 119104959 158806612 220779924 238209918 476419836 754331407 1508662814 2168097587 2262994221 3017325628 4336195174 4525988442 6504292761 8672390348 9051976884 13008585522 26017171044 41193854153 82387708306 88892001067 123581562459 164775416612 177784002134 247163124918 266676003201 355568004268 494326249836 533352006402 1066704012804 1688948020273 3377896040546 5066844060819 6755792081092 10133688121638 20267376243276