Search a number
-
+
470947932738 = 2321931137332353
BaseRepresentation
bin1101101101001101010…
…11110010101001000010
31200000121011121210010100
412312212223302221002
530204000132321423
61000203412343230
746011346243653
oct6664653625102
91600534553110
10470947932738
11171800915358
1277333614b16
133554429282a
1418b18a5152a
15c3b5353343
hex6da6af2a42

470947932738 has 96 divisors (see below), whose sum is σ = 1109581724160. Its totient is φ = 143813698560.

The previous prime is 470947932683. The next prime is 470947932797. The reversal of 470947932738 is 837239749074.

470947932738 is a `hidden beast` number, since 470 + 9 + 4 + 7 + 93 + 2 + 73 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14540370 + ... + 14572722.

It is an arithmetic number, because the mean of its divisors is an integer number (11558142960).

Almost surely, 2470947932738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470947932738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554790862080).

470947932738 is an abundant number, since it is smaller than the sum of its proper divisors (638633791422).

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

470947932738 is a wasteful number, since it uses less digits than its factorization.

470947932738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33784 (or 33781 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 470947932738 in words is "four hundred seventy billion, nine hundred forty-seven million, nine hundred thirty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1373 1767 2746 3534 4119 5301 8238 10602 12357 24714 26087 32353 42563 52174 64706 78261 85126 97059 127689 156522 194118 234783 255378 291177 383067 469566 582354 614707 766134 808697 1002943 1229414 1617394 1844121 2005886 2426091 3008829 3688242 4852182 5532363 6017658 7278273 9026487 11064726 14556546 18052974 19055917 38111834 44420669 57167751 88841338 114335502 133262007 171503253 266524014 343006506 399786021 799572042 843992711 1377040739 1687985422 2531978133 2754081478 4131122217 5063956266 7595934399 8262244434 12393366651 15191868798 24786733302 26163774041 52327548082 78491322123 156982644246 235473966369 470947932738