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4972639056 = 2437113733607
BaseRepresentation
bin1001010000110010…
…00111001101010000
3110211112220020101220
410220121013031100
540140443422211
62141232525040
7234140506650
oct45031071520
913745806356
104972639056
112121a1a360
12b693b0780
1361329bb98
143525bc360
151e184e806
hex128647350

4972639056 has 160 divisors (see below), whose sum is σ = 16063162368. Its totient is φ = 1287774720.

The previous prime is 4972639051. The next prime is 4972639069. The reversal of 4972639056 is 6509362794.

It is a super-2 number, since 2×49726390562 = 49454278362513142272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972639051) 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 31 ways as a sum of consecutive naturals, for example, 1376805 + ... + 1380411.

Almost surely, 24972639056 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 4972639056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031581184).

4972639056 is an abundant number, since it is smaller than the sum of its proper divisors (11090523312).

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

4972639056 is a wasteful number, since it uses less digits than its factorization.

4972639056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The square root of 4972639056 is about 70516.9416239814. The cubic root of 4972639056 is about 1706.8511361341.

The spelling of 4972639056 in words is "four billion, nine hundred seventy-two million, six hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 373 462 528 616 746 924 1119 1232 1492 1848 2238 2611 2984 3607 3696 4103 4476 5222 5968 7214 7833 8206 8952 10444 10821 12309 14428 15666 16412 17904 20888 21642 24618 25249 28721 28856 31332 32824 39677 41776 43284 49236 50498 57442 57712 62664 65648 75747 79354 86163 86568 98472 100996 114884 119031 125328 151494 158708 172326 173136 196944 201992 229768 238062 277739 302988 317416 344652 403984 459536 476124 555478 605976 634832 689304 833217 952248 1110956 1211952 1345411 1378608 1666434 1904496 2221912 2690822 3332868 4036233 4443824 5381644 6665736 8072466 9417877 10763288 13331472 14799521 16144932 18835754 21526576 28253631 29599042 32289864 37671508 44398563 56507262 59198084 64579728 75343016 88797126 103596647 113014524 118396168 150686032 177594252 207193294 226029048 236792336 310789941 355188504 414386588 452058096 621579882 710377008 828773176 1243159764 1657546352 2486319528 4972639056