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42822231552 = 29334175553
BaseRepresentation
bin100111111000011001…
…110110011000000000
311002112100120202101000
4213320121312120000
51200144442402202
631401113012000
73044113651062
oct477031663000
9132470522330
1042822231552
1117185040411
1283710b4000
134065994869
14210333b732
1511a966391c
hex9f8676600

42822231552 has 160 divisors (see below), whose sum is σ = 129850126560. Its totient is φ = 13925744640.

The previous prime is 42822231469. The next prime is 42822231553. The reversal of 42822231552 is 25513222824.

42822231552 is a `hidden beast` number, since 4 + 2 + 82 + 2 + 23 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42822231553) 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, 529008 + ... + 604560.

It is an arithmetic number, because the mean of its divisors is an integer number (811563291).

Almost surely, 242822231552 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 42822231552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64925063280).

42822231552 is an abundant number, since it is smaller than the sum of its proper divisors (87027895008).

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

42822231552 is an equidigital number, since it uses as much as digits as its factorization.

42822231552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75621 (or 75599 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 42822231552 in words is "forty-two billion, eight hundred twenty-two million, two hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 512 576 656 738 768 864 984 1107 1152 1312 1476 1536 1728 1968 2214 2304 2624 2952 3456 3936 4428 4608 5248 5904 6912 7872 8856 10496 11808 13824 15744 17712 20992 23616 31488 35424 47232 62976 70848 75553 94464 141696 151106 188928 226659 283392 302212 453318 566784 604424 679977 906636 1208848 1359954 1813272 2039931 2417696 2719908 3097673 3626544 4079862 4835392 5439816 6195346 7253088 8159724 9293019 9670784 10879632 12390692 14506176 16319448 18586038 19341568 21759264 24781384 27879057 29012352 32638896 37172076 38683136 43518528 49562768 55758114 58024704 65277792 74344152 83637171 87037056 99125536 111516228 116049408 130555584 148688304 167274342 174074112 198251072 223032456 261111168 297376608 334548684 348148224 396502144 446064912 522222336 594753216 669097368 793004288 892129824 1044444672 1189506432 1338194736 1586008576 1784259648 2379012864 2676389472 3568519296 4758025728 5352778944 7137038592 10705557888 14274077184 21411115776 42822231552