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42025642032 = 24311317193571
BaseRepresentation
bin100111001000111011…
…000110100000110000
311000110211122210222110
4213020323012200300
51142032031021112
631150055205320
73015302030463
oct471073064060
9130424583873
1042025642032
1116906419970
12818a376840
133c6993710a
14206961d2da
15115e76213c
hex9c8ec6830

42025642032 has 160 divisors (see below), whose sum is σ = 122460733440. Its totient is φ = 12303648000.

The previous prime is 42025641991. The next prime is 42025642033. The reversal of 42025642032 is 23024652024.

It is not an unprimeable number, because it can be changed into a prime (42025642033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11766807 + ... + 11770377.

It is an arithmetic number, because the mean of its divisors is an integer number (765379584).

Almost surely, 242025642032 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 42025642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61230366720).

42025642032 is an abundant number, since it is smaller than the sum of its proper divisors (80435091408).

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

42025642032 is a wasteful number, since it uses less digits than its factorization.

42025642032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 42025642032 in words is "forty-two billion, twenty-five million, six hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 719 744 1023 1364 1438 1488 2046 2157 2728 2876 3571 4092 4314 5456 5752 7142 7909 8184 8628 10713 11504 14284 15818 16368 17256 21426 22289 23727 28568 31636 34512 39281 42852 44578 47454 57136 63272 66867 78562 85704 89156 94908 110701 117843 126544 133734 157124 171408 178312 189816 221402 235686 245179 267468 314248 332103 356624 379632 442804 471372 490358 534936 628496 664206 735537 885608 942744 980716 1069872 1217711 1328412 1471074 1771216 1885488 1961432 2435422 2567549 2656824 2942148 3653133 3922864 4870844 5135098 5313648 5884296 7306266 7702647 9741688 10270196 11768592 14612532 15405294 19483376 20540392 28243039 29225064 30810588 41080784 56486078 58450128 61621176 79594019 84729117 112972156 123242352 159188038 169458234 225944312 238782057 318376076 338916468 451888624 477564114 636752152 677832936 875534209 955128228 1273504304 1355665872 1751068418 1910256456 2626602627 3502136836 3820512912 5253205254 7004273672 10506410508 14008547344 21012821016 42025642032