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42549478752 = 25311293137519
BaseRepresentation
bin100111101000001001…
…011000010101100000
311001211100100110212110
4213220021120111200
51144120131310002
631314050555320
73034262413314
oct475011302540
9131740313773
1042549478752
1117055087180
1282b5898b40
134021316a81
1420b901bb44
151190737e6c
hex9e8258560

42549478752 has 96 divisors (see below), whose sum is σ = 122262981120. Its totient is φ = 12849681920.

The previous prime is 42549478739. The next prime is 42549478757. The reversal of 42549478752 is 25787494524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 42549478692 and 42549478701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42549478757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240649 + ... + 378167.

It is an arithmetic number, because the mean of its divisors is an integer number (1273572720).

Almost surely, 242549478752 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 42549478752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61131490560).

42549478752 is an abundant number, since it is smaller than the sum of its proper divisors (79713502368).

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

42549478752 is a wasteful number, since it uses less digits than its factorization.

42549478752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137836 (or 137828 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 57.

The spelling of 42549478752 in words is "forty-two billion, five hundred forty-nine million, four hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 293 352 528 586 879 1056 1172 1758 2344 3223 3516 4688 6446 7032 9376 9669 12892 14064 19338 25784 28128 38676 51568 77352 103136 137519 154704 275038 309408 412557 550076 825114 1100152 1512709 1650228 2200304 3025418 3300456 4400608 4538127 6050836 6600912 9076254 12101672 13201824 18152508 24203344 36305016 40293067 48406688 72610032 80586134 120879201 145220064 161172268 241758402 322344536 443223737 483516804 644689072 886447474 967033608 1289378144 1329671211 1772894948 1934067216 2659342422 3545789896 3868134432 5318684844 7091579792 10637369688 14183159584 21274739376 42549478752