Search a number
-
+
2136751753878 = 232747721350023
BaseRepresentation
bin11111000110000000010…
…101000100101010010110
321120021022220101201201100
4133012000111010222112
5240002031422111003
64313335445410530
7310242462143040
oct37060025045226
97507286351640
102136751753878
117542117295a5
122a6149a09a46
13126658194831
14755c2934a90
153a8ad970ba3
hex1f180544a96

2136751753878 has 96 divisors (see below), whose sum is σ = 5404436084736. Its totient is φ = 597416347584.

The previous prime is 2136751753853. The next prime is 2136751753901. The reversal of 2136751753878 is 8783571576312.

2136751753878 is a `hidden beast` number, since 2 + 1 + 3 + 67 + 517 + 53 + 8 + 7 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 42690375 + ... + 42740397.

It is an arithmetic number, because the mean of its divisors is an integer number (56296209216).

Almost surely, 22136751753878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136751753878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702218042368).

2136751753878 is an abundant number, since it is smaller than the sum of its proper divisors (3267684330858).

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

2136751753878 is a wasteful number, since it uses less digits than its factorization.

2136751753878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57298 (or 57295 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 2136751753878 in words is "two trillion, one hundred thirty-six billion, seven hundred fifty-one million, seven hundred fifty-three thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5922 7213 14426 21639 43278 50023 50491 64917 100046 100982 129834 150069 151473 300138 302946 339011 350161 450207 454419 678022 700322 900414 908838 1017033 1050483 2034066 2100966 2351081 2373077 3051099 3151449 4702162 4746154 6102198 6302898 7053243 7119231 14106486 14238462 16457567 21159729 21357693 32915134 42319458 42715386 49372701 98745402 148118103 296236206 360815899 721631798 1082447697 2164895394 2525711293 3247343091 5051422586 6494686182 7577133879 15154267758 16958347253 22731401637 33916694506 45462803274 50875041759 101750083518 118708430771 152625125277 237416861542 305250250554 356125292313 712250584626 1068375876939 2136751753878