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42135554552 = 23713234912757
BaseRepresentation
bin100111001111011110…
…011000100111111000
311000202111110221121112
4213033132120213320
51142243200221202
631205023055452
73021105206240
oct471736304770
9130674427545
1042135554552
1116962470863
1281bb141588
133c8663b700
14207a070b20
151169223b52
hex9cf7989f8

42135554552 has 96 divisors (see below), whose sum is σ = 98057988000. Its totient is φ = 16619945472.

The previous prime is 42135554543. The next prime is 42135554579. The reversal of 42135554552 is 25545553124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3296558 + ... + 3309314.

It is an arithmetic number, because the mean of its divisors is an integer number (1021437375).

Almost surely, 242135554552 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 42135554552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49028994000).

42135554552 is an abundant number, since it is smaller than the sum of its proper divisors (55922433448).

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

42135554552 is a wasteful number, since it uses less digits than its factorization.

42135554552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13145 (or 13128 counting only the distinct ones).

The product of its digits is 600000, while the sum is 41.

The spelling of 42135554552 in words is "forty-two billion, one hundred thirty-five million, five hundred fifty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 349 364 676 698 728 1183 1352 1396 2366 2443 2792 4537 4732 4886 9074 9464 9772 12757 18148 19544 25514 31759 36296 51028 58981 63518 89299 102056 117962 127036 165841 178598 235924 254072 331682 357196 412867 471848 663364 714392 825734 1160887 1326728 1651468 2155933 2321774 3302936 4311866 4452193 4643548 8623732 8904386 9287096 15091531 17247464 17808772 30183062 31165351 35617544 57878509 60366124 62330702 115757018 120732248 124661404 231514036 249322808 405149563 463028072 752420617 810299126 1504841234 1620598252 3009682468 3241196504 5266944319 6019364936 10533888638 21067777276 42135554552