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48437238132 = 22324146770271
BaseRepresentation
bin101101000111000101…
…011001100101110100
311122000200012122100200
4231013011121211310
51243144413110012
634130214040500
73333214505463
oct550705314564
9148020178320
1048437238132
11195a6615a18
129479649130
13474c07466a
1424b6d709da
1513d759e3dc
hexb47159974

48437238132 has 72 divisors (see below), whose sum is σ = 125695245312. Its totient is φ = 15717993600.

The previous prime is 48437238119. The next prime is 48437238133. The reversal of 48437238132 is 23183273484.

48437238132 is a `hidden beast` number, since 484 + 3 + 7 + 2 + 38 + 132 = 666.

48437238132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48437238133) 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, 654157 + ... + 724427.

It is an arithmetic number, because the mean of its divisors is an integer number (1745767296).

Almost surely, 248437238132 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 48437238132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62847622656).

48437238132 is an abundant number, since it is smaller than the sum of its proper divisors (77258007180).

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

48437238132 is a wasteful number, since it uses less digits than its factorization.

48437238132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70789 (or 70784 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 48437238132 in words is "forty-eight billion, four hundred thirty-seven million, two hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 467 492 738 934 1401 1476 1868 2802 4203 5604 8406 16812 19147 38294 57441 70271 76588 114882 140542 172323 210813 229764 281084 344646 421626 632439 689292 843252 1264878 2529756 2881111 5762222 8643333 11524444 17286666 25929999 32816557 34573332 51859998 65633114 98449671 103719996 131266228 196899342 295349013 393798684 590698026 1181396052 1345478837 2690957674 4036436511 5381915348 8072873022 12109309533 16145746044 24218619066 48437238132