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45721710100 = 225211197321067
BaseRepresentation
bin101010100101001110…
…011110111000010100
311101000102110112012101
4222211032132320110
51222114224210400
633000530531444
73206012060233
oct524516367024
9141012415171
1045721710100
1118432793580
128a40136b84
1344085b2141
1422da458b1a
1512c8e9d56a
hexaa539ee14

45721710100 has 72 divisors (see below), whose sum is σ = 108295756128. Its totient is φ = 16616860800.

The previous prime is 45721710077. The next prime is 45721710109. The reversal of 45721710100 is 101712754.

45721710100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45721710109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2159767 + ... + 2180833.

It is an arithmetic number, because the mean of its divisors is an integer number (1504107724).

Almost surely, 245721710100 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 45721710100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54147878064).

45721710100 is an abundant number, since it is smaller than the sum of its proper divisors (62574046028).

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

45721710100 is a wasteful number, since it uses less digits than its factorization.

45721710100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23065 (or 23058 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The spelling of 45721710100 in words is "forty-five billion, seven hundred twenty-one million, seven hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1973 3946 7892 9865 19730 21067 21703 39460 42134 43406 49325 84268 86812 98650 105335 108515 197300 210670 217030 231737 421340 434060 463474 526675 542575 926948 1053350 1085150 1158685 2106700 2170300 2317370 4634740 5793425 11586850 23173700 41565191 83130382 166260764 207825955 415651910 457217101 831303820 914434202 1039129775 1828868404 2078259550 2286085505 4156519100 4572171010 9144342020 11430427525 22860855050 45721710100