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45356189952 = 283251235289
BaseRepresentation
bin101010001111011100…
…001000100100000000
311100001221200011211010
4222033130020210000
51220342141034302
632500352320520
73163653152643
oct521734104400
9140057604733
1045356189952
1118265428907
128959843140
13437a953928
1422a3aaba5a
1512a6d4b16c
hexa8f708900

45356189952 has 72 divisors (see below), whose sum is σ = 121195055520. Its totient is φ = 15058432000.

The previous prime is 45356189947. The next prime is 45356189959. The reversal of 45356189952 is 25998165354.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45356189892 and 45356189901.

It is not an unprimeable number, because it can be changed into a prime (45356189959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75124 + ... + 310412.

It is an arithmetic number, because the mean of its divisors is an integer number (1683264660).

Almost surely, 245356189952 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 45356189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60597527760).

45356189952 is an abundant number, since it is smaller than the sum of its proper divisors (75838865568).

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

45356189952 is a wasteful number, since it uses less digits than its factorization.

45356189952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235559 (or 235545 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 57.

The spelling of 45356189952 in words is "forty-five billion, three hundred fifty-six million, one hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 256 384 502 753 768 1004 1506 2008 3012 4016 6024 8032 12048 16064 24096 32128 48192 64256 96384 192768 235289 470578 705867 941156 1411734 1882312 2823468 3764624 5646936 7529248 11293872 15058496 22587744 30116992 45175488 59057539 60233984 90350976 118115078 177172617 180701952 236230156 354345234 472460312 708690468 944920624 1417380936 1889841248 2834761872 3779682496 5669523744 7559364992 11339047488 15118729984 22678094976 45356189952