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3070000047408 = 24373557334771
BaseRepresentation
bin101100101011001010010…
…000110010010100110000
3101212111012120201010100120
4230223022100302110300
5400244330003004113
610310201043250240
7434541314562000
oct54531220622460
911774176633316
103070000047408
11a83a85aa0428
12416ba0979980
13193665c92cb8
14a8835922000
1554cced63a23
hex2caca432530

3070000047408 has 160 divisors (see below), whose sum is σ = 9265417689600. Its totient is φ = 875565492480.

The previous prime is 3070000047391. The next prime is 3070000047467. The reversal of 3070000047408 is 8047400000703.

It is a happy number.

It is a super-3 number, since 3×30700000474083 (a number of 38 digits) contains 333 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, 9003063 + ... + 9337833.

It is an arithmetic number, because the mean of its divisors is an integer number (57908860560).

Almost surely, 23070000047408 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 3070000047408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632708844800).

3070000047408 is an abundant number, since it is smaller than the sum of its proper divisors (6195417642192).

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

3070000047408 is a wasteful number, since it uses less digits than its factorization.

3070000047408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335360 (or 335340 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 3070000047408 in words is "three trillion, seventy billion, forty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 557 588 686 784 1029 1114 1176 1372 1671 2058 2228 2352 2744 3342 3899 4116 4456 5488 6684 7798 8232 8912 11697 13368 15596 16464 23394 26736 27293 31192 46788 54586 62384 81879 93576 109172 163758 187152 191051 218344 327516 334771 382102 436688 573153 655032 669542 764204 1004313 1146306 1310064 1339084 1528408 2008626 2292612 2343397 2678168 3056816 4017252 4585224 4686794 5356336 7030191 8034504 9170448 9373588 14060382 16069008 16403779 18747176 28120764 32807558 37494352 49211337 56241528 65615116 98422674 112483056 114826453 131230232 186467447 196845348 229652906 262460464 344479359 372934894 393690696 459305812 559402341 688958718 745869788 787381392 918611624 1118804682 1305272129 1377917436 1491739576 1837223248 2237609364 2610544258 2755834872 2983479152 3915816387 4475218728 5221088516 5511669744 7831632774 8950437456 9136904903 10442177032 15663265548 18273809806 20884354064 27410714709 31326531096 36547619612 54821429418 62653062192 63958334321 73095239224 109642858836 127916668642 146190478448 191875002963 219285717672 255833337284 383750005926 438571435344 511666674568 767500011852 1023333349136 1535000023704 3070000047408