Search a number
-
+
45814723392 = 263299784827
BaseRepresentation
bin101010101010110001…
…010011001101000000
311101020220111002110010
4222222301103031000
51222312032122032
633014052304520
73211221503064
oct525261231500
9141226432403
1045814723392
1118480242869
128a67312140
13442194a7a9
14230894baa4
1512d2222ccc
hexaaac53340

45814723392 has 112 divisors (see below), whose sum is σ = 126692314560. Its totient is φ = 14592786432.

The previous prime is 45814723349. The next prime is 45814723417. The reversal of 45814723392 is 29332741854.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497683 + ... + 582509.

It is an arithmetic number, because the mean of its divisors is an integer number (1131181380).

Almost surely, 245814723392 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 45814723392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63346157280).

45814723392 is an abundant number, since it is smaller than the sum of its proper divisors (80877591168).

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

45814723392 is a wasteful number, since it uses less digits than its factorization.

45814723392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84968 (or 84958 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 45814723392 in words is "forty-five billion, eight hundred fourteen million, seven hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 97 116 174 192 194 232 291 348 388 464 582 696 776 928 1164 1392 1552 1856 2328 2784 2813 3104 4656 5568 5626 6208 8439 9312 11252 16878 18624 22504 33756 45008 67512 84827 90016 135024 169654 180032 254481 270048 339308 508962 540096 678616 1017924 1357232 2035848 2459983 2714464 4071696 4919966 5428928 7379949 8143392 8228219 9839932 14759898 16286784 16456438 19679864 24684657 29519796 32912876 39359728 49369314 59039592 65825752 78719456 98738628 118079184 131651504 157438912 197477256 236158368 238618351 263303008 394954512 472316736 477236702 526606016 715855053 789909024 954473404 1431710106 1579818048 1908946808 2863420212 3817893616 5726840424 7635787232 11453680848 15271574464 22907361696 45814723392