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1052382457888 = 25172296758567
BaseRepresentation
bin11110101000001101110…
…00011111000000100000
310201121101100020222220221
433110012320133000200
5114220234402123023
62123242520212424
7136014006204106
oct17240670370040
93647340228827
101052382457888
11376349509903
1214bb6090a114
13783157c1758
1438d1534bc76
151c59536985d
hexf506e1f020

1052382457888 has 144 divisors (see below), whose sum is σ = 2310837923520. Its totient is φ = 471016820736.

The previous prime is 1052382457873. The next prime is 1052382457933. The reversal of 1052382457888 is 8887542832501.

It is a super-2 number, since 2×10523824578882 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17939581 + ... + 17998147.

It is an arithmetic number, because the mean of its divisors is an integer number (16047485580).

Almost surely, 21052382457888 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 1052382457888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155418961760).

1052382457888 is an abundant number, since it is smaller than the sum of its proper divisors (1258455465632).

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

1052382457888 is a wasteful number, since it uses less digits than its factorization.

1052382457888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58707 (or 58682 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 61.

The spelling of 1052382457888 in words is "one trillion, fifty-two billion, three hundred eighty-two million, four hundred fifty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 67 68 116 134 136 232 268 272 289 464 493 536 544 578 928 986 1072 1139 1156 1943 1972 2144 2278 2312 3886 3944 4556 4624 7772 7888 8381 9112 9248 15544 15776 16762 18224 19363 31088 33031 33524 36448 38726 58567 62176 66062 67048 77452 117134 132124 134096 154904 234268 264248 268192 309808 468536 528496 561527 619616 937072 995639 1056992 1123054 1698443 1874144 1991278 2246108 3396886 3923989 3982556 4492216 6793772 7847978 7965112 8984432 13587544 15695956 15930224 16925863 17968864 27175088 28873531 31391912 31860448 33851726 54350176 57747062 62783824 66707813 67703452 113795681 115494124 125567648 133415626 135406904 227591362 230988248 266831252 270813808 455182724 461976496 490850027 533662504 541627616 910365448 923952992 981700054 1067325008 1134032821 1820730896 1934526577 1963400108 2134650016 2268065642 3641461792 3869053154 3926800216 4536131284 7738106308 7853600432 9072262568 15476212616 15707200864 18144525136 30952425232 32886951809 36289050272 61904850464 65773903618 131547807236 263095614472 526191228944 1052382457888