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4993724520 = 233451541273
BaseRepresentation
bin1001010011010011…
…00011000001101000
3110220000120111020000
410221221203001220
540211343141040
62143304503000
7234514646421
oct45151430150
913800514200
104993724520
112132911164
12b7447aa60
136177723a5
1435530a648
151e3617130
hex129a63068

4993724520 has 80 divisors (see below), whose sum is σ = 16784473860. Its totient is φ = 1331659008.

The previous prime is 4993724471. The next prime is 4993724521. The reversal of 4993724520 is 254273994.

4993724520 is a `hidden beast` number, since 4 + 99 + 37 + 2 + 4 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4986336996 + 7387524 = 70614^2 + 2718^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4993724521) 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 19 ways as a sum of consecutive naturals, for example, 767397 + ... + 773876.

Almost surely, 24993724520 is an apocalyptic number.

4993724520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4993724520 is an abundant number, since it is smaller than the sum of its proper divisors (11790749340).

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

4993724520 is a wasteful number, since it uses less digits than its factorization.

4993724520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541296 (or 1541283 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4993724520 is about 70666.2898417626. The cubic root of 4993724520 is about 1709.2602525146.

The spelling of 4993724520 in words is "four billion, nine hundred ninety-three million, seven hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 1541273 3082546 4623819 6165092 7706365 9247638 12330184 13871457 15412730 18495276 23119095 27742914 30825460 36990552 41614371 46238190 55485828 61650920 69357285 83228742 92476380 110971656 124843113 138714570 166457484 184952760 208071855 249686226 277429140 332914968 416143710 499372452 554858280 624215565 832287420 998744904 1248431130 1664574840 2496862260 4993724520