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47867925492 = 223237137262313
BaseRepresentation
bin101100100101001001…
…101001001111110100
311120112222221120020100
4230211021221033310
51241013142103432
633553515434100
73313132440042
oct544511511764
9146488846210
1047867925492
1119334217a02
12933aa55930
13468b13188a
1424614d5392
1513a25e407c
hexb252693f4

47867925492 has 72 divisors (see below), whose sum is σ = 125177290056. Its totient is φ = 15411354624.

The previous prime is 47867925487. The next prime is 47867925493. The reversal of 47867925492 is 29452976874.

47867925492 is a `hidden beast` number, since 4 + 7 + 86 + 7 + 9 + 2 + 549 + 2 = 666.

47867925492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35244054756 + 12623870736 = 187734^2 + 112356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47867925493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51328 + ... + 313640.

It is an arithmetic number, because the mean of its divisors is an integer number (1738573473).

Almost surely, 247867925492 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 47867925492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62588645028).

47867925492 is an abundant number, since it is smaller than the sum of its proper divisors (77309364564).

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

47867925492 is a wasteful number, since it uses less digits than its factorization.

47867925492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262497 (or 262492 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 47867925492 in words is "forty-seven billion, eight hundred sixty-seven million, nine hundred twenty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 137 148 222 274 333 411 444 548 666 822 1233 1332 1644 2466 4932 5069 10138 15207 20276 30414 45621 60828 91242 182484 262313 524626 786939 1049252 1573878 2360817 3147756 4721634 9443268 9705581 19411162 29116743 35936881 38822324 58233486 71873762 87350229 107810643 116466972 143747524 174700458 215621286 323431929 349400916 431242572 646863858 1293727716 1329664597 2659329194 3988993791 5318658388 7977987582 11966981373 15955975164 23933962746 47867925492