Search a number
-
+
47696452992 = 273326715167
BaseRepresentation
bin101100011010111011…
…100001110110000000
311120010001021212012000
4230122323201312000
51240140242443432
633524512304000
73305651106156
oct543273416600
9146101255160
1047696452992
111925644a0a1
1292b1542000
134661755266
14244681b3d6
15139252257c
hexb1aee1d80

47696452992 has 128 divisors (see below), whose sum is σ = 140850739200. Its totient is φ = 15889789440.

The previous prime is 47696452987. The next prime is 47696453023. The reversal of 47696452992 is 29925469674.

47696452992 is a `hidden beast` number, since 4 + 7 + 6 + 96 + 452 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9228393 + ... + 9233559.

It is an arithmetic number, because the mean of its divisors is an integer number (1100396400).

Almost surely, 247696452992 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 47696452992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70425369600).

47696452992 is an abundant number, since it is smaller than the sum of its proper divisors (93154286208).

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

47696452992 is a wasteful number, since it uses less digits than its factorization.

47696452992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7843 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 47696452992 in words is "forty-seven billion, six hundred ninety-six million, four hundred fifty-two thousand, nine hundred ninety-two".

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 2671 3456 5167 5342 8013 10334 10684 15501 16026 20668 21368 24039 31002 32052 41336 42736 46503 48078 62004 64104 72117 82672 85472 93006 96156 124008 128208 139509 144234 165344 170944 186012 192312 248016 256416 279018 288468 330688 341888 372024 384624 496032 512832 558036 576936 661376 744048 769248 992064 1025664 1116072 1153872 1488096 1538496 1984128 2232144 2307744 2976192 3076992 4464288 4615488 5952384 8928576 9230976 13801057 17857152 27602114 41403171 55204228 82806342 110408456 124209513 165612684 220816912 248419026 331225368 372628539 441633824 496838052 662450736 745257078 883267648 993676104 1324901472 1490514156 1766535296 1987352208 2649802944 2981028312 3974704416 5299605888 5962056624 7949408832 11924113248 15898817664 23848226496 47696452992