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1021894714432 = 26972116911129
BaseRepresentation
bin11101101111011011010…
…10111110010001000000
310121200200121012011022101
432313231222332101000
5113220320021330212
62101241342120144
7133554334516504
oct16675552762100
93550617164271
101021894714432
11364423a1aa09
12146072580054
1375497376277
143766221c304
151b8ad9e9157
hexededabe440

1021894714432 has 112 divisors (see below), whose sum is σ = 2063242121920. Its totient is φ = 502109798400.

The previous prime is 1021894714427. The next prime is 1021894714453. The reversal of 1021894714432 is 2344174981201.

It is a happy 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, 905132044 + ... + 905133172.

It is an arithmetic number, because the mean of its divisors is an integer number (18421804660).

Almost surely, 21021894714432 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 1021894714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031621060960).

1021894714432 is an abundant number, since it is smaller than the sum of its proper divisors (1041347407488).

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

1021894714432 is a wasteful number, since it uses less digits than its factorization.

1021894714432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 1021894714432 in words is "one trillion, twenty-one billion, eight hundred ninety-four million, seven hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 194 211 388 422 691 776 844 1129 1382 1552 1688 2258 2764 3104 3376 4516 5528 6208 6752 9032 11056 13504 18064 20467 22112 36128 40934 44224 67027 72256 81868 109513 134054 145801 163736 219026 238219 268108 291602 327472 438052 476438 536216 583204 654944 780139 876104 952876 1072432 1166408 1309888 1560278 1752208 1905752 2144864 2332816 3120556 3504416 3811504 4289728 4665632 6241112 7008832 7623008 9331264 12482224 14142697 15246016 23107243 24964448 28285394 46214486 49928896 56570788 75673483 92428972 113141576 151346966 164609329 184857944 226283152 302693932 329218658 369715888 452566304 605387864 658437316 739431776 905132608 1210775728 1316874632 1478863552 2421551456 2633749264 4843102912 5267498528 10534997056 15967104913 31934209826 63868419652 127736839304 255473678608 510947357216 1021894714432