Search a number
-
+
45096835200 = 273524697587
BaseRepresentation
bin101001111111111110…
…110001100010000000
311022101212122120222120
4221333332301202000
51214324242211300
632414525404240
73154353526434
oct517776614200
9138355576876
1045096835200
1118141a9583a
1288a6a09680
134338cb7291
14227b4789c4
15128e1ba3a0
hexa7ffb1880

45096835200 has 96 divisors (see below), whose sum is σ = 148537732560. Its totient is φ = 12025820160.

The previous prime is 45096835177. The next prime is 45096835213. The reversal of 45096835200 is 253869054.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 2339194 + ... + 2358393.

Almost surely, 245096835200 is an apocalyptic number.

45096835200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45096835200 is an abundant number, since it is smaller than the sum of its proper divisors (103440897360).

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

45096835200 is a wasteful number, since it uses less digits than its factorization.

45096835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697614 (or 4697597 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 45096835200 in words is "forty-five billion, ninety-six million, eight hundred thirty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 4697587 9395174 14092761 18790348 23487935 28185522 37580696 46975870 56371044 70463805 75161392 93951740 112742088 117439675 140927610 150322784 187903480 225484176 234879350 281855220 300645568 352319025 375806960 450968352 469758700 563710440 601291136 704638050 751613920 901936704 939517400 1127420880 1409276100 1503227840 1803873408 1879034800 2254841760 2818552200 3006455680 3758069600 4509683520 5637104400 7516139200 9019367040 11274208800 15032278400 22548417600 45096835200