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42877316352 = 283135218243
BaseRepresentation
bin100111111011101011…
…111110110100000000
311002200012020100111210
4213323223332310000
51200303043110402
631410401410120
73045353114133
oct477353766400
9132605210453
1042877316352
1117203144442
128387639940
134074210510
14210a79a21a
1511ae3e506c
hex9fbafed00

42877316352 has 144 divisors (see below), whose sum is σ = 123145178688. Its totient is φ = 13166100480.

The previous prime is 42877316351. The next prime is 42877316353. The reversal of 42877316352 is 25361377824.

It is an interprime number because it is at equal distance from previous prime (42877316351) and next prime (42877316353).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42877316351) 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, 5197543 + ... + 5205785.

It is an arithmetic number, because the mean of its divisors is an integer number (855174852).

Almost surely, 242877316352 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 42877316352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61572589344).

42877316352 is an abundant number, since it is smaller than the sum of its proper divisors (80267862336).

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

42877316352 is a wasteful number, since it uses less digits than its factorization.

42877316352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8782 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The spelling of 42877316352 in words is "forty-two billion, eight hundred seventy-seven million, three hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 521 624 768 832 1042 1248 1563 1664 2084 2496 3126 3328 4168 4992 6252 6773 8243 8336 9984 12504 13546 16486 16672 20319 24729 25008 27092 32972 33344 40638 49458 50016 54184 65944 66688 81276 98916 100032 107159 108368 131888 133376 162552 197832 200064 214318 216736 263776 321477 325104 395664 400128 428636 433472 527552 642954 650208 791328 857272 866944 1055104 1285908 1300416 1582656 1714544 1733888 2110208 2571816 2600832 3165312 3429088 4294603 5143632 5201664 6330624 6858176 8589206 10287264 12883809 13716352 17178412 20574528 25767618 27432704 34356824 41149056 51535236 55829839 68713648 82298112 103070472 111659678 137427296 167489517 206140944 223319356 274854592 334979034 412281888 446638712 549709184 669958068 824563776 893277424 1099418368 1339916136 1649127552 1786554848 2679832272 3298255104 3573109696 5359664544 7146219392 10719329088 14292438784 21438658176 42877316352