Search a number
-
+
89985853680768 = 273326037573403
BaseRepresentation
bin10100011101011101110110…
…110101111110110010000000
3102210121120012212021210122000
4110131131312311332302000
543243312012020241033
6515214532552544000
724645156224656503
oct2435356665766200
9383546185253560
1089985853680768
1126743871527141
12a113a403b2000
133b2982529b136
1418314a4ddd13a
15a60b12994a13
hex51d776d7ec80

89985853680768 has 64 divisors (see below), whose sum is σ = 265583248720800. Its totient is φ = 29995284559104.

The previous prime is 89985853680689. The next prime is 89985853680787. The reversal of 89985853680768 is 86708635858998.

89985853680768 is a `hidden beast` number, since 8 + 9 + 9 + 8 + 5 + 8 + 536 + 8 + 0 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13018783246 + ... + 13018790157.

Almost surely, 289985853680768 is an apocalyptic number.

It is an amenable number.

89985853680768 is an abundant number, since it is smaller than the sum of its proper divisors (175597395040032).

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

89985853680768 is a wasteful number, since it uses less digits than its factorization.

89985853680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26037573426 (or 26037573408 counting only the distinct ones).

The product of its (nonzero) digits is 50164531200, while the sum is 90.

The spelling of 89985853680768 in words is "eighty-nine trillion, nine hundred eighty-five billion, eight hundred fifty-three million, six hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 26037573403 52075146806 78112720209 104150293612 156225440418 208300587224 234338160627 312450880836 416601174448 468676321254 624901761672 703014481881 833202348896 937352642508 1249803523344 1406028963762 1666404697792 1874705285016 2499607046688 2812057927524 3332809395584 3749410570032 4999214093376 5624115855048 7498821140064 9998428186752 11248231710096 14997642280128 22496463420192 29995284560256 44992926840384 89985853680768