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45354505252 = 22725927714159
BaseRepresentation
bin101010001111010101…
…101101010000100100
311100001211111120211211
4222033111231100210
51220341223132002
632500252241204
73163632635200
oct521725552044
9140054446754
1045354505252
11182644880a1
128959170204
13437a4b3b74
1422a378db00
1512a6b16dd7
hexa8f56d424

45354505252 has 72 divisors (see below), whose sum is σ = 94239331200. Its totient is φ = 19037866176.

The previous prime is 45354505211. The next prime is 45354505283. The reversal of 45354505252 is 25250545354.

It is a super-2 number, since 2×453545052522 (a number of 22 digits) contains 22 as substring.

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, 3196149 + ... + 3210307.

It is an arithmetic number, because the mean of its divisors is an integer number (1308879600).

Almost surely, 245354505252 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 45354505252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47119665600).

45354505252 is an abundant number, since it is smaller than the sum of its proper divisors (48884825948).

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

45354505252 is a wasteful number, since it uses less digits than its factorization.

45354505252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14513 (or 14504 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 40.

The spelling of 45354505252 in words is "forty-five billion, three hundred fifty-four million, five hundred five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 277 413 554 826 1108 1652 1939 2891 3878 5782 7756 11564 13573 14159 16343 27146 28318 32686 54292 56636 65372 99113 114401 198226 228802 396452 457604 693791 800807 835381 1387582 1601614 1670762 2775164 3203228 3341524 3922043 5847667 7844086 11695334 15688172 23390668 27454301 40933669 54908602 81867338 109817204 163734676 192180107 231400537 384360214 462801074 768720428 925602148 1619803759 3239607518 6479215036 11338626313 22677252626 45354505252