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20687365360 = 2454322926261
BaseRepresentation
bin10011010001000100…
…000010010011110000
31222101201221001021001
4103101010002103300
5314331431142420
613300442011344
71331436463354
oct232104022360
958351831231
1020687365360
118856529872
1240141a6b54
131c48c121bc
1410036d1464
15811294b0a
hex4d11024f0

20687365360 has 80 divisors (see below), whose sum is σ = 49433487840. Its totient is φ = 8046904320.

The previous prime is 20687365339. The next prime is 20687365411. The reversal of 20687365360 is 6356378602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 20687365360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774630 + ... + 800890.

It is an arithmetic number, because the mean of its divisors is an integer number (617918598).

Almost surely, 220687365360 is an apocalyptic number.

20687365360 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 20687365360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24716743920).

20687365360 is an abundant number, since it is smaller than the sum of its proper divisors (28746122480).

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

20687365360 is a wasteful number, since it uses less digits than its factorization.

20687365360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26546 (or 26540 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 20687365360 in words is "twenty billion, six hundred eighty-seven million, three hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 229 344 430 458 688 860 916 1145 1720 1832 2290 3440 3664 4580 9160 9847 18320 19694 26261 39388 49235 52522 78776 98470 105044 131305 157552 196940 210088 262610 393880 420176 525220 787760 1050440 1129223 2100880 2258446 4516892 5646115 6013769 9033784 11292230 12027538 18067568 22584460 24055076 30068845 45168920 48110152 60137690 90337840 96220304 120275380 240550760 258592067 481101520 517184134 1034368268 1292960335 2068736536 2585920670 4137473072 5171841340 10343682680 20687365360