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470485000386 = 232172327936791
BaseRepresentation
bin1101101100010110001…
…01110110000011000010
31122222101220112101022200
412312023011312003002
530202023130003021
61000045434214030
745664025342652
oct6661305660302
91588356471280
10470485000386
11171593576435
1277224584316
133549c3b866b
1418ab3388362
15c3898ad126
hex6d8b1760c2

470485000386 has 144 divisors (see below), whose sum is σ = 1142630012160. Its totient is φ = 139394661120.

The previous prime is 470485000357. The next prime is 470485000397. The reversal of 470485000386 is 683000584074.

470485000386 is a `hidden beast` number, since 4 + 70 + 48 + 500 + 0 + 38 + 6 = 666.

It is a super-2 number, since 2×4704850003862 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12769651 + ... + 12806441.

It is an arithmetic number, because the mean of its divisors is an integer number (7934930640).

Almost surely, 2470485000386 is an apocalyptic number.

470485000386 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 470485000386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571315006080).

470485000386 is an abundant number, since it is smaller than the sum of its proper divisors (672145011774).

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

470485000386 is a wasteful number, since it uses less digits than its factorization.

With its successor (470485000387) it forms an eRAP, since the sums of their prime factors are consecutive (36941 and 36942).

470485000386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36941 (or 36915 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 470485000386 in words is "four hundred seventy billion, four hundred eighty-five million, three hundred eighty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 79 102 138 153 158 207 237 306 391 414 474 529 711 782 1058 1173 1343 1422 1587 1817 2346 2686 3174 3519 3634 4029 4761 5451 7038 8058 8993 9522 10902 12087 16353 17986 24174 26979 30889 32706 36791 41791 53958 61778 73582 80937 83582 92667 110373 125373 161874 185334 220746 250746 278001 331119 376119 556002 625447 662238 710447 752238 846193 1250894 1420894 1692386 1876341 2131341 2538579 2906489 3752682 4262682 5077158 5629023 5812978 6394023 7615737 8719467 11258046 12788046 14385281 15231474 17438934 19462439 26158401 28770562 38924878 43155843 49410313 52316802 58387317 66849247 86311686 98820626 116774634 129467529 133698494 148230939 175161951 200547741 258935058 296461878 330861463 350323902 401095482 444692817 601643223 661722926 889385634 992584389 1136437199 1203286446 1537532681 1985168778 2272874398 2977753167 3075065362 3409311597 4612598043 5955506334 6818623194 9225196086 10227934791 13837794129 20455869582 26138055577 27675588258 52276111154 78414166731 156828333462 235242500193 470485000386