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45377610340 = 22523661149239
BaseRepresentation
bin101010010000101101…
…110110001001100100
311100010102222110001211
4222100231312021210
51220413132012330
632502435401204
73164333216026
oct522055661144
9140112873054
1045377610340
1118276529307
128964a53204
13438221370a
1422a6886016
1512a8b7cd2a
hexa90b76264

45377610340 has 48 divisors (see below), whose sum is σ = 99587255040. Its totient is φ = 17335486080.

The previous prime is 45377610319. The next prime is 45377610401. The reversal of 45377610340 is 4301677354.

It is a super-4 number, since 4×453776103404 (a number of 44 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45377610293 and 45377610302.

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, 229441 + ... + 378679.

It is an arithmetic number, because the mean of its divisors is an integer number (2074734480).

Almost surely, 245377610340 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 45377610340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49793627520).

45377610340 is an abundant number, since it is smaller than the sum of its proper divisors (54209644700).

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

45377610340 is a wasteful number, since it uses less digits than its factorization.

45377610340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149932 (or 149930 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 45377610340 in words is "forty-five billion, three hundred seventy-seven million, six hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 661 1322 2644 3305 6610 13220 15203 30406 60812 76015 149239 152030 298478 304060 596956 746195 1492390 2984780 3432497 6864994 13729988 17162485 34324970 68649940 98646979 197293958 394587916 493234895 986469790 1972939580 2268880517 4537761034 9075522068 11344402585 22688805170 45377610340