Search a number
-
+
85143017520 = 243251110750381
BaseRepresentation
bin100111101001011101…
…0110101100000110000
322010202202121102201100
41033102322311200300
52343333103030040
6103040354204400
76102631464531
oct1172272654060
9263682542640
1085143017520
1133122017290
1214602283700
13804b7b9352
144199c28688
152334c75b30
hex13d2eb5830

85143017520 has 120 divisors (see below), whose sum is σ = 311933084112. Its totient is φ = 20640729600.

The previous prime is 85143017513. The next prime is 85143017579. The reversal of 85143017520 is 2571034158.

85143017520 is a `hidden beast` number, since 8 + 51 + 430 + 175 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×851430175202 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5367271 + ... + 5383110.

Almost surely, 285143017520 is an apocalyptic number.

85143017520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85143017520 is an abundant number, since it is smaller than the sum of its proper divisors (226790066592).

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

85143017520 is a wasteful number, since it uses less digits than its factorization.

85143017520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10750411 (or 10750402 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 85143017520 in words is "eighty-five billion, one hundred forty-three million, seventeen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 10750381 21500762 32251143 43001524 53751905 64502286 86003048 96753429 107503810 118254191 129004572 161255715 172006096 193506858 215007620 236508382 258009144 322511430 354762573 387013716 430015240 473016764 483767145 516018288 591270955 645022860 709525146 774027432 860030480 946033528 967534290 1064287719 1182541910 1290045720 1419050292 1548054864 1773812865 1892067056 1935068580 2128575438 2365083820 2580091440 2838100584 3547625730 3870137160 4257150876 4730167640 5321438595 5676201168 7095251460 7740274320 8514301752 9460335280 10642877190 14190502920 17028603504 21285754380 28381005840 42571508760 85143017520