Search a number
-
+
48920546832 = 2432949970429
BaseRepresentation
bin101101100011111001…
…000100111000010000
311200021100122021020220
4231203321010320100
51300142124444312
634250201033040
73351203533653
oct554371047020
9150240567226
1048920546832
11198244119a3
129593485780
1347c8234341
14252121d89a
151414c1bc8c
hexb63e44e10

48920546832 has 80 divisors (see below), whose sum is σ = 130999800000. Its totient is φ = 15712768512.

The previous prime is 48920546737. The next prime is 48920546869. The reversal of 48920546832 is 23864502984.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659394 + ... + 729822.

It is an arithmetic number, because the mean of its divisors is an integer number (1637497500).

Almost surely, 248920546832 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 48920546832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499900000).

48920546832 is an abundant number, since it is smaller than the sum of its proper divisors (82079253168).

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

48920546832 is a wasteful number, since it uses less digits than its factorization.

48920546832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70968 (or 70962 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 48920546832 in words is "forty-eight billion, nine hundred twenty million, five hundred forty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 499 696 998 1392 1497 1996 2994 3992 5988 7984 11976 14471 23952 28942 43413 57884 70429 86826 115768 140858 173652 211287 231536 281716 347304 422574 563432 694608 845148 1126864 1690296 2042441 3380592 4084882 6127323 8169764 12254646 16339528 24509292 32679056 35144071 49018584 70288142 98037168 105432213 140576284 210864426 281152568 421728852 562305136 843457704 1019178059 1686915408 2038356118 3057534177 4076712236 6115068354 8153424472 12230136708 16306848944 24460273416 48920546832