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47421820008 = 2334175238231
BaseRepresentation
bin101100001010100011…
…111000110001101000
311112101220112001120000
4230022203320301220
51234104441220013
633441342103000
73266104551003
oct541243706150
9145356461500
1047421820008
1119125421292
12923557aa60
134619899734
14241c16c53a
151378374973
hexb0a8f8c68

47421820008 has 160 divisors (see below), whose sum is σ = 140924266560. Its totient is φ = 14847183360.

The previous prime is 47421820001. The next prime is 47421820027. The reversal of 47421820008 is 80002812474.

47421820008 is a `hidden beast` number, since 474 + 2 + 182 + 0 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×474218200082 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (47421820001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5757253 + ... + 5765483.

It is an arithmetic number, because the mean of its divisors is an integer number (880776666).

Almost surely, 247421820008 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 47421820008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70462133280).

47421820008 is an abundant number, since it is smaller than the sum of its proper divisors (93502446552).

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

47421820008 is a wasteful number, since it uses less digits than its factorization.

47421820008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 47421820008 in words is "forty-seven billion, four hundred twenty-one million, eight hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 523 612 648 918 1046 1224 1377 1569 1836 2092 2754 3138 3672 4184 4707 5508 6276 8231 8891 9414 11016 12552 14121 16462 17782 18828 24693 26673 28242 32924 35564 37656 42363 49386 53346 56484 65848 71128 74079 80019 84726 98772 106692 112968 139927 148158 160038 169452 197544 213384 222237 240057 279854 296316 320076 338904 419781 444474 480114 559708 592632 640152 666711 720171 839562 888948 960228 1119416 1259343 1333422 1440342 1679124 1777896 1920456 2518686 2666844 2880684 3358248 3778029 4304813 5037372 5333688 5761368 7556058 8609626 10074744 11334087 12914439 15112116 17219252 22668174 25828878 30224232 34438504 38743317 45336348 51657756 73181821 77486634 90672696 103315512 116229951 146363642 154973268 219545463 232459902 292727284 309946536 348689853 439090926 464919804 585454568 658636389 697379706 878181852 929839608 1317272778 1394759412 1756363704 1975909167 2634545556 2789518824 3951818334 5269091112 5927727501 7903636668 11855455002 15807273336 23710910004 47421820008