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45004768368 = 24376113915797
BaseRepresentation
bin101001111010011111…
…100100010001110000
311022011110102010000220
4221322133210101300
51214132210041433
632401440213040
73152155135140
oct517237442160
9138143363026
1045004768368
11180a502264a
12888000a180
134322bc0671
14226d150920
1512860812b3
hexa7a7e4470

45004768368 has 160 divisors (see below), whose sum is σ = 136029626880. Its totient is φ = 12555924480.

The previous prime is 45004768301. The next prime is 45004768409. The reversal of 45004768368 is 86386740054.

45004768368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45004768368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2841046 + ... + 2856842.

It is an arithmetic number, because the mean of its divisors is an integer number (850185168).

Almost surely, 245004768368 is an apocalyptic number.

45004768368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45004768368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68014813440).

45004768368 is an abundant number, since it is smaller than the sum of its proper divisors (91024858512).

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

45004768368 is a wasteful number, since it uses less digits than its factorization.

45004768368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16015 (or 16009 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 45004768368 in words is "forty-five billion, four million, seven hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 139 168 183 244 278 336 366 417 427 488 556 732 834 854 973 976 1112 1281 1464 1668 1708 1946 2224 2562 2919 2928 3336 3416 3892 5124 5838 6672 6832 7784 8479 10248 11676 15568 15797 16958 20496 23352 25437 31594 33916 46704 47391 50874 59353 63188 67832 94782 101748 110579 118706 126376 135664 178059 189564 203496 221158 237412 252752 331737 356118 379128 406992 442316 474824 663474 712236 758256 884632 949648 963617 1326948 1424472 1769264 1927234 2195783 2653896 2848944 2890851 3854468 4391566 5307792 5781702 6587349 6745319 7708936 8783132 11563404 13174698 13490638 15370481 15417872 17566264 20235957 23126808 26349396 26981276 30740962 35132528 40471914 46111443 46253616 52698792 53962552 61481924 80943828 92222886 105397584 107925104 122963848 133942763 161887656 184445772 245927696 267885526 323775312 368891544 401828289 535771052 737783088 803656578 937599341 1071542104 1607313156 1875198682 2143084208 2812798023 3214626312 3750397364 5625596046 6429252624 7500794728 11251192092 15001589456 22502384184 45004768368