Search a number
-
+
47222103168 = 273412735863
BaseRepresentation
bin101011111110101010…
…000001110010000000
311111212222201101120000
4223332222001302000
51233202324300133
633405445320000
73261131153112
oct537652016200
9144788641500
1047222103168
1119032712049
12919a706000
1345b73b12a6
1423dd8213b2
151365a74413
hexafea81c80

47222103168 has 160 divisors (see below), whose sum is σ = 141642716160. Its totient is φ = 15616323072.

The previous prime is 47222103167. The next prime is 47222103191. The reversal of 47222103168 is 86130122274.

It is a happy number.

47222103168 is a `hidden beast` number, since 472 + 2 + 21 + 0 + 3 + 168 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47222103161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1298805 + ... + 1334667.

It is an arithmetic number, because the mean of its divisors is an integer number (885266976).

Almost surely, 247222103168 is an apocalyptic number.

47222103168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47222103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70821358080).

47222103168 is an abundant number, since it is smaller than the sum of its proper divisors (94420612992).

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

47222103168 is a wasteful number, since it uses less digits than its factorization.

47222103168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36016 (or 35995 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 47222103168 in words is "forty-seven billion, two hundred twenty-two million, one hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 128 144 162 192 216 254 288 324 381 384 432 508 576 648 762 864 1016 1143 1152 1296 1524 1728 2032 2286 2592 3048 3429 3456 4064 4572 5184 6096 6858 8128 9144 10287 10368 12192 13716 16256 18288 20574 24384 27432 35863 36576 41148 48768 54864 71726 73152 82296 107589 109728 143452 146304 164592 215178 219456 286904 322767 329184 430356 438912 573808 645534 658368 860712 968301 1147616 1291068 1316736 1721424 1936602 2295232 2582136 2904903 3442848 3873204 4554601 4590464 5164272 5809806 6885696 7746408 9109202 10328544 11619612 13663803 13771392 15492816 18218404 20657088 23239224 27327606 30985632 36436808 40991409 41314176 46478448 54655212 61971264 72873616 81982818 92956896 109310424 122974227 123942528 145747232 163965636 185913792 218620848 245948454 291494464 327931272 368922681 371827584 437241696 491896908 582988928 655862544 737845362 874483392 983793816 1311725088 1475690724 1748966784 1967587632 2623450176 2951381448 3935175264 5246900352 5902762896 7870350528 11805525792 15740701056 23611051584 47222103168