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45654725360 = 24517311107941
BaseRepresentation
bin101010100001001110…
…111101001011110000
311100211202102100102002
4222201032331023300
51222000102202420
632550135113132
73204236522366
oct524116751360
9140752370362
1045654725360
11183a89a1992
128a218127a8
1343c775abba
1422d15bd636
1512c316b075
hexaa13bd2f0

45654725360 has 80 divisors (see below), whose sum is σ = 112753622592. Its totient is φ = 17132236800.

The previous prime is 45654725351. The next prime is 45654725401. The reversal of 45654725360 is 6352745654.

45654725360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 368990 + ... + 476930.

Almost surely, 245654725360 is an apocalyptic number.

45654725360 is a gapful number since it is divisible by the number (40) 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 45654725360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56376811296).

45654725360 is an abundant number, since it is smaller than the sum of its proper divisors (67098897232).

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

45654725360 is a wasteful number, since it uses less digits than its factorization.

45654725360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108282 (or 108276 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 47.

The spelling of 45654725360 in words is "forty-five billion, six hundred fifty-four million, seven hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 311 340 622 680 1244 1360 1555 2488 3110 4976 5287 6220 10574 12440 21148 24880 26435 42296 52870 84592 105740 107941 211480 215882 422960 431764 539705 863528 1079410 1727056 1834997 2158820 3669994 4317640 7339988 8635280 9174985 14679976 18349970 29359952 33569651 36699940 67139302 73399880 134278604 146799760 167848255 268557208 335696510 537114416 570684067 671393020 1141368134 1342786040 2282736268 2685572080 2853420335 4565472536 5706840670 9130945072 11413681340 22827362680 45654725360