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952642515952 = 241723821185477
BaseRepresentation
bin11011101110011011110…
…10110011001111110000
310101001221021221222021101
431313031322303033300
5111102002441002302
62005345443134144
7125553240531301
oct15671572631760
93331837858241
10952642515952
11338016957226
12134766074354
136baabb3682a
1434172a647a8
1519ba8d9e287
hexddcdeb33f0

952642515952 has 80 divisors (see below), whose sum is σ = 2041783371072. Its totient is φ = 428286341120.

The previous prime is 952642515917. The next prime is 952642515961. The reversal of 952642515952 is 259515246259.

It is a junction number, because it is equal to n+sod(n) for n = 952642515893 and 952642515902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5043438 + ... + 5228914.

Almost surely, 2952642515952 is an apocalyptic number.

952642515952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952642515952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020891685536).

952642515952 is an abundant number, since it is smaller than the sum of its proper divisors (1089140855120).

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

952642515952 is a wasteful number, since it uses less digits than its factorization.

952642515952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186346 (or 186340 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 55.

The spelling of 952642515952 in words is "nine hundred fifty-two billion, six hundred forty-two million, five hundred fifteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 821 1564 1642 3128 3284 6256 6568 13136 13957 18883 27914 37766 55828 75532 111656 151064 185477 223312 302128 321011 370954 642022 741908 1284044 1483816 2568088 2967632 3153109 4265971 5136176 6306218 8531942 12612436 17063884 25224872 34127768 50449744 68255536 72521507 145043014 152276617 290086028 304553234 580172056 609106468 1160344112 1218212936 2436425872 2588702489 3502362191 5177404978 7004724382 10354809956 14009448764 20709619912 28018897528 41419239824 56037795056 59540157247 119080314494 238160628988 476321257976 952642515952