Search a number
-
+
48435566704 = 2474310619479
BaseRepresentation
bin101101000110111111…
…000001100001110000
311122000120001201120221
4231012333001201300
51243144001113304
634130114142424
73333164344510
oct550677014160
9148016051527
1048435566704
11195a5684178
129478b81a14
13474b90a955
1424b6a57840
1513d736e054
hexb46fc1870

48435566704 has 80 divisors (see below), whose sum is σ = 109859397120. Its totient is φ = 20254106880.

The previous prime is 48435566671. The next prime is 48435566713. The reversal of 48435566704 is 40766553484.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5105037 + ... + 5114515.

It is an arithmetic number, because the mean of its divisors is an integer number (1373242464).

Almost surely, 248435566704 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 48435566704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54929698560).

48435566704 is an abundant number, since it is smaller than the sum of its proper divisors (61423830416).

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

48435566704 is a wasteful number, since it uses less digits than its factorization.

48435566704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 48435566704 in words is "forty-eight billion, four hundred thirty-five million, five hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1061 1204 2122 2408 4244 4816 7427 8488 9479 14854 16976 18958 29708 37916 45623 59416 66353 75832 91246 118832 132706 151664 182492 265412 319361 364984 407597 530824 638722 729968 815194 1061648 1277444 1630388 2554888 2853179 3260776 5109776 5706358 6521552 10057219 11412716 20114438 22825432 40228876 45650864 70400533 80457752 140801066 160915504 281602132 432460417 563204264 864920834 1126408528 1729841668 3027222919 3459683336 6054445838 6919366672 12108891676 24217783352 48435566704