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45210050232 = 23319417333299
BaseRepresentation
bin101010000110101110…
…101001111010111000
311022200202200111210220
4222012232221322320
51220042233101412
632434052140040
73160230041424
oct520656517270
9138622614726
1045210050232
111819a992986
128918907620
1343565a6b19
14228c509b84
1512990d068c
hexa86ba9eb8

45210050232 has 128 divisors (see below), whose sum is σ = 122078880000. Its totient is φ = 13905423360.

The previous prime is 45210050219. The next prime is 45210050269. The reversal of 45210050232 is 23205001254.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13702519 + ... + 13705817.

It is an arithmetic number, because the mean of its divisors is an integer number (953741250).

Almost surely, 245210050232 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 45210050232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61039440000).

45210050232 is an abundant number, since it is smaller than the sum of its proper divisors (76868829768).

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

45210050232 is a wasteful number, since it uses less digits than its factorization.

45210050232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 45210050232 its reverse (23205001254), we get a palindrome (68415051486).

The spelling of 45210050232 in words is "forty-five billion, two hundred ten million, fifty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 733 779 984 1466 1558 2199 2337 2932 3116 3299 4398 4674 5864 6232 6598 8796 9348 9897 13196 13927 17592 18696 19794 26392 27854 30053 39588 41781 55708 60106 62681 79176 83562 90159 111416 120212 125362 135259 167124 180318 188043 240424 250724 270518 334248 360636 376086 405777 501448 541036 571007 721272 752172 811554 1082072 1142014 1504344 1623108 1713021 2284028 2418167 2569921 3246216 3426042 4568056 4836334 5139842 6852084 7254501 7709763 9672668 10279684 13704168 14509002 15419526 19345336 20559368 29018004 30839052 45945173 58036008 61678104 91890346 99144847 137835519 183780692 198289694 275671038 297434541 367561384 396579388 551342076 594869082 793158776 1102684152 1189738164 1883752093 2379476328 3767504186 5651256279 7535008372 11302512558 15070016744 22605025116 45210050232