Search a number
-
+
45939370224 = 2431187006383
BaseRepresentation
bin101010110010001100…
…110010100011110000
311101120121000210202110
4222302030302203300
51223040434321344
633034304045320
73214264126656
oct526214624360
9141517023673
1045939370224
1118534638880
128aa1003840
134441710807
14231b316dd6
1512dd1453b9
hexab23328f0

45939370224 has 40 divisors (see below), whose sum is σ = 129465499392. Its totient is φ = 13921021120.

The previous prime is 45939370219. The next prime is 45939370247. The reversal of 45939370224 is 42207393954.

It is a super-2 number, since 2×459393702242 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 43502664 + ... + 43503719.

Almost surely, 245939370224 is an apocalyptic number.

45939370224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45939370224 is an abundant number, since it is smaller than the sum of its proper divisors (83526129168).

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

45939370224 is a wasteful number, since it uses less digits than its factorization.

45939370224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87006405 (or 87006399 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 45939370224 in words is "forty-five billion, nine hundred thirty-nine million, three hundred seventy thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 87006383 174012766 261019149 348025532 522038298 696051064 957070213 1044076596 1392102128 1914140426 2088153192 2871210639 3828280852 4176306384 5742421278 7656561704 11484842556 15313123408 22969685112 45939370224