Search a number
-
+
472455285235220 = 225724127943501121
BaseRepresentation
bin110101101101100100001000…
…1011100101101111000010100
32021221211021200011020001020202
41223123020101130231320110
5443411201411010011340
64352454543422120032
7201341524254511310
oct15333102134557024
92257737604201222
10472455285235220
111275a21856a4441
1244ba4bbb120018
131738145ab53c91
148494d5a362b40
1539949a5d8ac15
hex1adb21172de14

472455285235220 has 96 divisors (see below), whose sum is σ = 1138640652796416. Its totient is φ = 161306438860800.

The previous prime is 472455285235217. The next prime is 472455285235229. The reversal of 472455285235220 is 22532582554274.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472455285235229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942546260 + ... + 943047380.

It is an arithmetic number, because the mean of its divisors is an integer number (11860840133296).

Almost surely, 2472455285235220 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 472455285235220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569320326398208).

472455285235220 is an abundant number, since it is smaller than the sum of its proper divisors (666185367561196).

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

472455285235220 is a wasteful number, since it uses less digits than its factorization.

472455285235220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529321 (or 529319 counting only the distinct ones).

The product of its (nonzero) digits is 53760000, while the sum is 56.

The spelling of 472455285235220 in words is "four hundred seventy-two trillion, four hundred fifty-five billion, two hundred eighty-five million, two hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 964 1205 1687 2410 3374 4820 6748 8435 16870 27943 33740 55886 111772 139715 195601 279430 391202 501121 558860 782404 978005 1002242 1956010 2004484 2505605 3507847 3912020 5011210 6734263 7015694 10022420 13468526 14031388 17539235 26937052 33671315 35078470 47139841 67342630 70156940 94279682 120770161 134685260 188559364 235699205 241540322 471398410 483080644 603850805 845391127 942796820 1207701610 1690782254 2415403220 3381564508 4226955635 8453911270 14002824103 16907822540 28005648206 56011296412 70014120515 98019768721 140028241030 196039537442 280056482060 392079074884 490098843605 980197687210 1960395374420 3374680608823 6749361217646 13498722435292 16873403044115 23622764261761 33746806088230 47245528523522 67493612176460 94491057047044 118113821308805 236227642617610 472455285235220