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45352240100 = 225216719314071
BaseRepresentation
bin101010001111001101…
…000100001111100100
311100001200020111122022
4222033031010033210
51220340133140400
632500131522312
73163604452226
oct521715041744
9140050214568
1045352240100
1118263180272
128958459398
134379b9cb3b
1422a3360416
1512a681ab85
hexa8f3443e4

45352240100 has 72 divisors (see below), whose sum is σ = 99523713408. Its totient is φ = 17937561600.

The previous prime is 45352240067. The next prime is 45352240117. The reversal of 45352240100 is 104225354.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45352240100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3216065 + ... + 3230135.

Almost surely, 245352240100 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 45352240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49761856704).

45352240100 is an abundant number, since it is smaller than the sum of its proper divisors (54171473308).

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

45352240100 is a wasteful number, since it uses less digits than its factorization.

45352240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14445 (or 14438 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 45352240100 its reverse (104225354), we get a palindrome (45456465454).

The spelling of 45352240100 in words is "forty-five billion, three hundred fifty-two million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 193 334 386 668 772 835 965 1670 1930 3340 3860 4175 4825 8350 9650 14071 16700 19300 28142 32231 56284 64462 70355 128924 140710 161155 281420 322310 351775 644620 703550 805775 1407100 1611550 2349857 2715703 3223100 4699714 5431406 9399428 10862812 11749285 13578515 23498570 27157030 46997140 54314060 58746425 67892575 117492850 135785150 234985700 271570300 453522401 907044802 1814089604 2267612005 4535224010 9070448020 11338060025 22676120050 45352240100