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20545126160 = 24513371992683
BaseRepresentation
bin10011001000100101…
…011011111100010000
31222000211021112202112
4103020211123330100
5314034023014120
613234401204452
71325061455666
oct231045337420
958024245675
1020545126160
118793208409
123b94630728
131c255cc8b0
14dcc866c36
15803a49bc5
hex4c895bf10

20545126160 has 160 divisors (see below), whose sum is σ = 53117433600. Its totient is φ = 7341041664.

The previous prime is 20545126153. The next prime is 20545126163. The reversal of 20545126160 is 6162154502.

It is not an unprimeable number, because it can be changed into a prime (20545126163) 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, 7656179 + ... + 7658861.

It is an arithmetic number, because the mean of its divisors is an integer number (331983960).

Almost surely, 220545126160 is an apocalyptic number.

20545126160 is a gapful number since it is divisible by the number (20) 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 20545126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26558716800).

20545126160 is an abundant number, since it is smaller than the sum of its proper divisors (32572307440).

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

20545126160 is a wasteful number, since it uses less digits than its factorization.

20545126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 20545126160 in words is "twenty billion, five hundred forty-five million, one hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 199 208 260 296 370 398 481 520 592 740 796 962 995 1040 1480 1592 1924 1990 2405 2587 2683 2960 3184 3848 3980 4810 5174 5366 7363 7696 7960 9620 10348 10732 12935 13415 14726 15920 19240 20696 21464 25870 26830 29452 34879 36815 38480 41392 42928 51740 53660 58904 69758 73630 95719 99271 103480 107320 117808 139516 147260 174395 191438 198542 206960 214640 279032 294520 348790 382876 397084 478595 496355 533917 558064 589040 697580 765752 794168 957190 992710 1067834 1290523 1395160 1531504 1588336 1914380 1985420 2135668 2581046 2669585 2790320 3828760 3970840 4271336 5162092 5339170 6452615 6940921 7657520 7941680 8542672 10324184 10678340 12905230 13881842 19754929 20648368 21356680 25810460 27763684 34704605 39509858 42713360 51620920 55527368 69409210 79019716 98774645 103241840 111054736 138818420 158039432 197549290 256814077 277636840 316078864 395098580 513628154 555273680 790197160 1027256308 1284070385 1580394320 2054512616 2568140770 4109025232 5136281540 10272563080 20545126160