Search a number
-
+
47225455056 = 24331331271261
BaseRepresentation
bin101011111110110110…
…110100000111010000
311111220020000200111000
4223332312310013100
51233204204030211
633410045222000
73261201513303
oct537666640720
9144806020430
1047225455056
11190345a13aa
12919b861900
1345b7cb5b60
142400054b3a
151365ed7656
hexafedb41d0

47225455056 has 160 divisors (see below), whose sum is σ = 150691466240. Its totient is φ = 14062118400.

The previous prime is 47225455037. The next prime is 47225455093. The reversal of 47225455056 is 65055452274.

47225455056 is a `hidden beast` number, since 4 + 7 + 2 + 2 + 545 + 50 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38466 + ... + 309726.

It is an arithmetic number, because the mean of its divisors is an integer number (941821664).

Almost surely, 247225455056 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 47225455056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75345733120).

47225455056 is an abundant number, since it is smaller than the sum of its proper divisors (103466011184).

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

47225455056 is a wasteful number, since it uses less digits than its factorization.

47225455056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271322 (or 271310 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 47225455056 in words is "forty-seven billion, two hundred twenty-five million, four hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 4464 4836 5616 6448 6696 7254 9672 10881 13392 14508 19344 21762 29016 43524 58032 87048 174096 271261 542522 813783 1085044 1627566 2170088 2441349 3255132 3526393 4340176 4882698 6510264 7052786 7324047 8409091 9765396 10579179 13020528 14105572 14648094 16818182 19530792 21158358 25227273 28211144 29296188 31737537 33636364 39061584 42316716 50454546 56422288 58592376 63475074 67272728 75681819 84633432 95212611 100909092 109318183 117184752 126950148 134545456 151363638 169266864 190425222 201818184 218636366 227045457 253900296 302727276 327954549 380850444 403636368 437272732 454090914 507800592 605454552 655909098 761700888 874545464 908181828 983863647 1210909104 1311818196 1523401776 1749090928 1816363656 1967727294 2623636392 2951590941 3632727312 3935454588 5247272784 5903181882 7870909176 11806363764 15741818352 23612727528 47225455056