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13190657940 = 22325101372341
BaseRepresentation
bin11000100100011100…
…10111011110010100
31021001021112211222200
430102032113132110
5204003302023230
610020521324500
7644606512455
oct142216273624
937037484880
1013190657940
1156598675a9
122681636730
131322a37a55
148d1bd912c
15523063160
hex312397794

13190657940 has 72 divisors (see below), whose sum is σ = 40051714248. Its totient is φ = 3513987840.

The previous prime is 13190657933. The next prime is 13190657951. The reversal of 13190657940 is 4975609131.

13190657940 is a `hidden beast` number, since 1 + 31 + 9 + 0 + 6 + 579 + 40 = 666.

13190657940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 386830224 + 12803827716 = 19668^2 + 113154^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 146170 + ... + 218510.

It is an arithmetic number, because the mean of its divisors is an integer number (556273809).

Almost surely, 213190657940 is an apocalyptic number.

13190657940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13190657940 is an abundant number, since it is smaller than the sum of its proper divisors (26861056308).

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

13190657940 is a wasteful number, since it uses less digits than its factorization.

13190657940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73369 (or 73364 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13190657940 in words is "thirteen billion, one hundred ninety million, six hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1013 2026 3039 4052 5065 6078 9117 10130 12156 15195 18234 20260 30390 36468 45585 60780 72341 91170 144682 182340 217023 289364 361705 434046 651069 723410 868092 1085115 1302138 1446820 2170230 2604276 3255345 4340460 6510690 13021380 73281433 146562866 219844299 293125732 366407165 439688598 659532897 732814330 879377196 1099221495 1319065794 1465628660 2198442990 2638131588 3297664485 4396885980 6595328970 13190657940