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4540644504 = 23321126321799
BaseRepresentation
bin1000011101010010…
…01011110010011000
3102201110000122021200
410032221023302120
533244401111004
62030321434200
7220343561424
oct41651136230
912643018250
104540644504
111a20091470
12a6879b960
135749377c6
14311089b84
151b896b239
hex10ea4bc98

4540644504 has 96 divisors (see below), whose sum is σ = 13467168000. Its totient is φ = 1370658240.

The previous prime is 4540644499. The next prime is 4540644533. The reversal of 4540644504 is 4054460454.

4540644504 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 644 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197397 + ... + 219195.

It is an arithmetic number, because the mean of its divisors is an integer number (140283000).

Almost surely, 24540644504 is an apocalyptic number.

4540644504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4540644504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733584000).

4540644504 is an abundant number, since it is smaller than the sum of its proper divisors (8926523496).

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

4540644504 is a wasteful number, since it uses less digits than its factorization.

4540644504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22085 (or 22078 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4540644504 is about 67384.3045820019. The cubic root of 4540644504 is about 1655.9192969843.

The spelling of 4540644504 in words is "four billion, five hundred forty million, six hundred forty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 263 264 396 526 789 792 1052 1578 2104 2367 2893 3156 4734 5786 6312 8679 9468 11572 17358 18936 21799 23144 26037 34716 43598 52074 65397 69432 87196 104148 130794 174392 196191 208296 239789 261588 392382 479578 523176 719367 784764 959156 1438734 1569528 1918312 2158101 2877468 4316202 5733137 5754936 8632404 11466274 17199411 17264808 22932548 34398822 45865096 51598233 63064507 68797644 103196466 126129014 137595288 189193521 206392932 252258028 378387042 412785864 504516056 567580563 756774084 1135161126 1513548168 2270322252 4540644504