Search a number
-
+
63288974970 = 23451343913691
BaseRepresentation
bin111010111100010100…
…010001111001111010
320001100201101001020000
4322330110101321322
52014103434144340
645024034213430
74400234261004
oct727424217172
9201321331200
1063288974970
1124927a816a1
1210323424276
135c77c7c220
1430c55dd374
1519a6378d30
hexebc511e7a

63288974970 has 160 divisors (see below), whose sum is σ = 183698444160. Its totient is φ = 15542202240.

The previous prime is 63288974927. The next prime is 63288974999. The reversal of 63288974970 is 7947988236.

63288974970 is a `hidden beast` number, since 63 + 2 + 8 + 89 + 7 + 497 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 63288974898 and 63288974907.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4615825 + ... + 4629515.

It is an arithmetic number, because the mean of its divisors is an integer number (1148115276).

Almost surely, 263288974970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63288974970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91849222080).

63288974970 is an abundant number, since it is smaller than the sum of its proper divisors (120409469190).

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

63288974970 is a wasteful number, since it uses less digits than its factorization.

63288974970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14162 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 63288974970 in words is "sixty-three billion, two hundred eighty-eight million, nine hundred seventy-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 439 585 702 810 878 1053 1170 1317 1755 2106 2195 2634 3510 3951 4390 5265 5707 6585 7902 10530 11414 11853 13170 13691 17121 19755 23706 27382 28535 34242 35559 39510 41073 51363 57070 59265 68455 71118 82146 85605 102726 118530 123219 136910 154089 171210 177795 177983 205365 246438 256815 308178 355590 355966 369657 410730 462267 513630 533949 616095 739314 770445 889915 924534 1067898 1108971 1232190 1540890 1601847 1779830 1848285 2217942 2311335 2669745 3203694 3696570 4622670 4805541 5339490 5544855 6010349 8009235 9611082 11089710 12020698 14416623 16018470 18031047 24027705 28833246 30051745 36062094 48055410 54093141 60103490 72083115 78134537 90155235 108186282 144166230 156269074 162279423 180310470 234403611 270465705 324558846 390672685 468807222 486838269 540931410 703210833 781345370 811397115 973676538 1172018055 1406421666 1622794230 2109632499 2344036110 2434191345 3516054165 4219264998 4868382690 6328897497 7032108330 10548162495 12657794994 21096324990 31644487485 63288974970