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1061182116864 = 21032472449907
BaseRepresentation
bin11110111000100110110…
…00100001010000000000
310202110002121100222201100
433130103120201100000
5114341300110214424
62131300023334400
7136445040110412
oct17342330412000
93673077328640
101061182116864
1137a054704941
121517b78b1400
13790b88c845c
143950bcd29b2
151c90cb70dc9
hexf713621400

1061182116864 has 132 divisors (see below), whose sum is σ = 3129336085824. Its totient is φ = 346201116672.

The previous prime is 1061182116853. The next prime is 1061182116887. The reversal of 1061182116864 is 4686112811601.

1061182116864 is a `hidden beast` number, since 1 + 0 + 611 + 8 + 21 + 1 + 6 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×10611821168642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791802 + ... + 1658105.

Almost surely, 21061182116864 is an apocalyptic number.

It is an amenable number.

1061182116864 is an abundant number, since it is smaller than the sum of its proper divisors (2068153968960).

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

1061182116864 is a wasteful number, since it uses less digits than its factorization.

1061182116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449980 (or 2449959 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1061182116864 in words is "one trillion, sixty-one billion, one hundred eighty-two million, one hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1024 1128 1152 1504 1536 1692 2256 2304 3008 3072 3384 4512 4608 6016 6768 9024 9216 12032 13536 18048 24064 27072 36096 48128 54144 72192 108288 144384 216576 433152 2449907 4899814 7349721 9799628 14699442 19599256 22049163 29398884 39198512 44098326 58797768 78397024 88196652 115145629 117595536 156794048 176393304 230291258 235191072 313588096 345436887 352786608 460582516 470382144 627176192 690873774 705573216 921165032 940764288 1036310661 1254352384 1381747548 1411146432 1842330064 1881528576 2072621322 2508704768 2763495096 2822292864 3684660128 3763057152 4145242644 5526990192 5644585728 7369320256 7526114304 8290485288 11053980384 11289171456 14738640512 16580970576 22107960768 22578342912 29477281024 33161941152 44215921536 58954562048 66323882304 88431843072 117909124096 132647764608 176863686144 265295529216 353727372288 530591058432 1061182116864