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45657357700 = 22526728124251
BaseRepresentation
bin101010100001011000…
…111111110110000100
311100211221101002022011
4222201120333312010
51222001240421300
632550311344004
73204301065013
oct524130776604
9140757332264
1045657357700
11183aa42a679
128a22682004
1343c81700b6
1422d1aa6a7a
1512c34daeba
hexaa163fd84

45657357700 has 72 divisors (see below), whose sum is σ = 100917228384. Its totient is φ = 17925600000.

The previous prime is 45657357679. The next prime is 45657357737. The reversal of 45657357700 is 775375654.

45657357700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870575 + ... + 1894825.

It is an arithmetic number, because the mean of its divisors is an integer number (1401628172).

Almost surely, 245657357700 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 45657357700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50458614192).

45657357700 is an abundant number, since it is smaller than the sum of its proper divisors (55259870684).

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

45657357700 is a wasteful number, since it uses less digits than its factorization.

45657357700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24613 (or 24606 counting only the distinct ones).

The product of its (nonzero) digits is 3087000, while the sum is 49.

The spelling of 45657357700 in words is "forty-five billion, six hundred fifty-seven million, three hundred fifty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 281 335 562 670 1124 1340 1405 1675 2810 3350 5620 6700 7025 14050 18827 24251 28100 37654 48502 75308 94135 97004 121255 188270 242510 376540 470675 485020 606275 941350 1212550 1624817 1882700 2425100 3249634 6499268 6814531 8124085 13629062 16248170 27258124 32496340 34072655 40620425 68145310 81240850 136290620 162481700 170363275 340726550 456573577 681453100 913147154 1826294308 2282867885 4565735770 9131471540 11414339425 22828678850 45657357700