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1042825385360 = 245113157166947
BaseRepresentation
bin11110010110011010011…
…11001001010110010000
310200200201021221102001202
433023031033021112100
5114041201244312420
62115022315050332
7135225120343643
oct17131517112620
93620637842052
101042825385360
1137229481a860
1214a1341409a8
13774517c5a55
1438689d65a5a
151c1d62ee575
hexf2cd3c9590

1042825385360 has 160 divisors (see below), whose sum is σ = 2735128940544. Its totient is φ = 366328512000.

The previous prime is 1042825385353. The next prime is 1042825385369. The reversal of 1042825385360 is 635835282401.

1042825385360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1042825385369) 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, 15543407 + ... + 15610353.

Almost surely, 21042825385360 is an apocalyptic number.

1042825385360 is a gapful number since it is divisible by the number (10) 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 1042825385360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367564470272).

1042825385360 is an abundant number, since it is smaller than the sum of its proper divisors (1692303555184).

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

1042825385360 is a wasteful number, since it uses less digits than its factorization.

1042825385360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67573 (or 67567 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 47.

The spelling of 1042825385360 in words is "one trillion, forty-two billion, eight hundred twenty-five million, three hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 571 620 682 880 1142 1240 1364 1705 2284 2480 2728 2855 3410 4568 5456 5710 6281 6820 9136 11420 12562 13640 17701 22840 25124 27280 31405 35402 45680 50248 62810 66947 70804 88505 100496 125620 133894 141608 177010 194711 251240 267788 283216 334735 354020 389422 502480 535576 669470 708040 736417 778844 973555 1071152 1338940 1416080 1472834 1557688 1947110 2075357 2677880 2945668 3115376 3682085 3894220 4150714 5355760 5891336 7364170 7788440 8301428 10376785 11782672 14728340 15576880 16602856 20753570 22828927 29456680 33205712 38226737 41507140 45657854 58913360 76453474 83014280 91315708 114144635 152906948 166028560 182631416 191133685 228289270 305813896 365262832 382267370 420494107 456578540 611627792 764534740 840988214 913157080 1185028847 1529069480 1681976428 1826314160 2102470535 2370057694 3058138960 3363952856 4204941070 4740115388 5925144235 6727905712 8409882140 9480230776 11850288470 13035317317 16819764280 18960461552 23700576940 26070634634 33639528560 47401153880 52141269268 65176586585 94802307760 104282538536 130353173170 208565077072 260706346340 521412692680 1042825385360