Search a number
-
+
473335996032 = 2734180125349
BaseRepresentation
bin1101110001101010000…
…01100001111010000000
31200020202121011222010000
412320311001201322000
530223343003333112
61001240401040000
746124464403424
oct6706501417200
91606677158100
10473335996032
11172816914689
127789b326000
1335834c5c233
1418ca3c84b84
15c4a4d1c7dc
hex6e35061e80

473335996032 has 160 divisors (see below), whose sum is σ = 1409477998500. Its totient is φ = 157684838400.

The previous prime is 473335996027. The next prime is 473335996043. The reversal of 473335996032 is 230699533374.

473335996032 is a `hidden beast` number, since 47 + 3 + 3 + 3 + 599 + 6 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 439441713216 + 33894282816 = 662904^2 + 184104^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 473335996032.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18660094 + ... + 18685442.

Almost surely, 2473335996032 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 473335996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704738999250).

473335996032 is an abundant number, since it is smaller than the sum of its proper divisors (936142002468).

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

473335996032 is a wasteful number, since it uses less digits than its factorization.

473335996032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27176 (or 27155 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 54.

The spelling of 473335996032 in words is "four hundred seventy-three billion, three hundred thirty-five million, nine hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 1801 2592 3456 3602 5184 5403 7204 10368 10806 14408 16209 21612 25349 28816 32418 43224 48627 50698 57632 64836 76047 86448 97254 101396 115264 129672 145881 152094 172896 194508 202792 228141 230528 259344 291762 304188 345792 389016 405584 456282 518688 583524 608376 684423 691584 778032 811168 912564 1037376 1167048 1216752 1368846 1556064 1622336 1825128 2053269 2074752 2334096 2433504 2737692 3112128 3244672 3650256 4106538 4668192 4867008 5475384 6224256 7300512 8213076 9336384 9734016 10950768 14601024 16426152 18672768 21901536 29202048 32852304 43803072 45653549 65704608 87606144 91307098 131409216 136960647 182614196 262818432 273921294 365228392 410881941 547842588 730456784 821763882 1095685176 1232645823 1460913568 1643527764 2191370352 2465291646 2921827136 3287055528 3697937469 4382740704 4930583292 5843654272 6574111056 7395874938 8765481408 9861166584 13148222112 14791749876 17530962816 19722333168 26296444224 29583499752 39444666336 52592888448 59166999504 78889332672 118333999008 157778665344 236667998016 473335996032