Search a number
-
+
7754116136 = 2313213814153
BaseRepresentation
bin1110011100010111…
…00110110000101000
3202000101201220122112
413032023212300220
5111340023204021
63321233341452
7363103620404
oct71613466050
922011656575
107754116136
113319aa6248
121604a07888
13967612100
14537b80104
15305b2ad5b
hex1ce2e6c28

7754116136 has 48 divisors (see below), whose sum is σ = 15758572860. Its totient is φ = 3575370240.

The previous prime is 7754116121. The next prime is 7754116147. The reversal of 7754116136 is 6316114577.

It can be written as a sum of positive squares in 6 ways, for example, as 9060100 + 7745056036 = 3010^2 + 88006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7754116093 and 7754116102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1865036 + ... + 1869188.

Almost surely, 27754116136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7754116136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879286430).

7754116136 is an abundant number, since it is smaller than the sum of its proper divisors (8004456724).

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

7754116136 is a wasteful number, since it uses less digits than its factorization.

7754116136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5549 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The square root of 7754116136 is about 88057.4592865363. The cubic root of 7754116136 is about 1979.2960916536.

The spelling of 7754116136 in words is "seven billion, seven hundred fifty-four million, one hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1381 2762 4153 5524 8306 11048 16612 17953 33224 35906 53989 71812 107978 143624 215956 233389 431912 466778 701857 933556 1403714 1867112 2807428 5614856 5735293 11470586 22941172 45882344 74558809 149117618 298235236 596470472 969264517 1938529034 3877058068 7754116136