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4747936810512 = 2437312112160337
BaseRepresentation
bin100010100010111011100…
…0101100100011000010000
3121210220020212202101101110
41011011313011210120100
51110242233310414022
614033101055333320
71000012205000520
oct105056705443020
917726225671343
104747936810512
111570652607535
12648222521240
132859617353bc
14125b30d4b680
158378871200c
hex45177164610

4747936810512 has 160 divisors (see below), whose sum is σ = 14538487128064. Its totient is φ = 1306571212800.

The previous prime is 4747936810499. The next prime is 4747936810549. The reversal of 4747936810512 is 2150186397474.

It is a super-2 number, since 2×47479368105122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1117608 + ... + 3277944.

It is a 2-persistent number, because it is pandigital, and so is 2⋅4747936810512 = 9495873621024, but 3⋅4747936810512 = 14243810431536 is not.

Almost surely, 24747936810512 is an apocalyptic number.

4747936810512 is a gapful number since it is divisible by the number (42) 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 4747936810512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269243564032).

4747936810512 is an abundant number, since it is smaller than the sum of its proper divisors (9790550317552).

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

4747936810512 is a wasteful number, since it uses less digits than its factorization.

4747936810512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160597 (or 2160591 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 4747936810512 in words is "four trillion, seven hundred forty-seven billion, nine hundred thirty-six million, eight hundred ten thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 211 217 248 336 372 422 434 496 633 651 744 844 868 1266 1302 1477 1488 1688 1736 2532 2604 2954 3376 3472 4431 5064 5208 5908 6541 8862 10128 10416 11816 13082 17724 19623 23632 26164 35448 39246 45787 52328 70896 78492 91574 104656 137361 156984 183148 274722 313968 366296 549444 732592 1098888 2160337 2197776 4320674 6481011 8641348 12962022 15122359 17282696 25924044 30244718 34565392 45367077 51848088 60489436 66970447 90734154 103696176 120978872 133940894 181468308 200911341 241957744 267881788 362936616 401822682 455831107 468793129 535763576 725873232 803645364 911662214 937586258 1071527152 1367493321 1406379387 1607290728 1823324428 1875172516 2734986642 2812758774 3190817749 3214581456 3646648856 3750345032 5469973284 5625517548 6381635498 7293297712 7500690064 9572453247 10939946568 11251035096 12763270996 14130764317 19144906494 21879893136 22502070192 25526541992 28261528634 38289812988 42392292951 51053083984 56523057268 76579625976 84784585902 98915350219 113046114536 153159251952 169569171804 197830700438 226092229072 296746050657 339138343608 395661400876 593492101314 678276687216 791322801752 1186984202628 1582645603504 2373968405256 4747936810512