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47242148700208 = 24711296072178373
BaseRepresentation
bin10101011110111011010110…
…11111011110000000110000
320012021022020120101111020211
422233131223133132000300
522143003410031401313
6244250424332513504
712644063325230650
oct1257355337360060
9205238216344224
1047242148700208
1114064312382950
12536ba1801b894
132048bb94a4247
14b947644c6360
1556dd23d0de3d
hex2af76b7de030

47242148700208 has 160 divisors (see below), whose sum is σ = 118247020277760. Its totient is φ = 17742055726080.

The previous prime is 47242148700157. The next prime is 47242148700209. The reversal of 47242148700208 is 80200784124274.

It is a super-2 number, since 2×472421487002082 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47242148700209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20597710 + ... + 22776082.

It is an arithmetic number, because the mean of its divisors is an integer number (739043876736).

Almost surely, 247242148700208 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 47242148700208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59123510138880).

47242148700208 is an abundant number, since it is smaller than the sum of its proper divisors (71004871577552).

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

47242148700208 is a wasteful number, since it uses less digits than its factorization.

47242148700208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179035 (or 2179029 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 49.

The spelling of 47242148700208 in words is "forty-seven trillion, two hundred forty-two billion, one hundred forty-eight million, seven hundred thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 607 616 638 812 1214 1232 1276 1624 2233 2428 2552 3248 4249 4466 4856 5104 6677 8498 8932 9712 13354 16996 17603 17864 26708 33992 35206 35728 46739 53416 67984 70412 93478 106832 123221 140824 186956 193633 246442 281648 373912 387266 492884 747824 774532 985768 1355431 1549064 1971536 2178373 2710862 3098128 4356746 5421724 8713492 10843448 15248611 17426984 21686896 23962103 30497222 34853968 47924206 60994444 63172817 95848412 121988888 126345634 167734721 191696824 243977776 252691268 335469442 383393648 442209719 505382536 670938884 694900987 884419438 1010765072 1322272411 1341877768 1389801974 1768838876 2644544822 2683755536 2779603948 3537677752 4864306909 5289089644 5559207896 7075355504 9255906877 9728613818 10578179288 11118415792 14544996521 18511813754 19457227636 21156358576 29089993042 37023627508 38345899919 38914455272 58179986084 74047255016 76691799838 77828910544 101814975647 116359972168 148094510032 153383599676 203629951294 232719944336 268421299433 306767199352 407259902588 421804899109 536842598866 613534398704 814519805176 843609798218 1073685197732 1629039610352 1687219596436 2147370395464 2952634293763 3374439192872 4294740790928 5905268587526 6748878385744 11810537175052 23621074350104 47242148700208