Search a number
-
+
13764350520 = 2333512744769
BaseRepresentation
bin11001101000110101…
…10101001000111000
31022112021001110021000
430310122311020320
5211142133204040
610153453445000
7665044022544
oct146432651070
938467043230
1013764350520
1159236872a8
1228017a0760
1313b485230b
14948094a24
155585d6130
hex3346b5238

13764350520 has 64 divisors (see below), whose sum is σ = 45881172000. Its totient is φ = 3670493184.

The previous prime is 13764350507. The next prime is 13764350521. The reversal of 13764350520 is 2505346731.

13764350520 is a `hidden beast` number, since 1 + 3 + 7 + 643 + 5 + 0 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13764350521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6371305 + ... + 6373464.

Almost surely, 213764350520 is an apocalyptic number.

13764350520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13764350520 is an abundant number, since it is smaller than the sum of its proper divisors (32116821480).

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

13764350520 is a wasteful number, since it uses less digits than its factorization.

13764350520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12744789 (or 12744779 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 13764350520 in words is "thirteen billion, seven hundred sixty-four million, three hundred fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 12744769 25489538 38234307 50979076 63723845 76468614 101958152 114702921 127447690 152937228 191171535 229405842 254895380 305874456 344108763 382343070 458811684 509790760 573514605 688217526 764686140 917623368 1147029210 1376435052 1529372280 1720543815 2294058420 2752870104 3441087630 4588116840 6882175260 13764350520