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1121126426460 = 223358923327641
BaseRepresentation
bin10000010100001000010…
…101111010011101011100
310222011211020011102121000
4100110020111322131130
5121332031331121320
62215012142110300
7143666362250415
oct20241025723534
93864736142530
101121126426460
113a2515704977
12161346b7b390
138194c957131
143c39720a80c
151e26a572c90
hex1050857a75c

1121126426460 has 96 divisors (see below), whose sum is σ = 3527139470400. Its totient is φ = 295607854080.

The previous prime is 1121126426449. The next prime is 1121126426489. The reversal of 1121126426460 is 646246211211.

1121126426460 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 2 + 6 + 4 + 2 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11615761 + ... + 11711880.

It is an arithmetic number, because the mean of its divisors is an integer number (36741036150).

Almost surely, 21121126426460 is an apocalyptic number.

1121126426460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121126426460 is an abundant number, since it is smaller than the sum of its proper divisors (2406013043940).

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

1121126426460 is a wasteful number, since it uses less digits than its factorization.

1121126426460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23327748 (or 23327740 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1121126426460 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-six million, four hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 534 540 801 890 1068 1335 1602 1780 2403 2670 3204 4005 4806 5340 8010 9612 12015 16020 24030 48060 23327641 46655282 69982923 93310564 116638205 139965846 209948769 233276410 279931692 349914615 419897538 466552820 629846307 699829230 839795076 1049743845 1259692614 1399658460 2076160049 2099487690 2519385228 3149231535 4152320098 4198975380 6228480147 6298463070 8304640196 10380800245 12456960294 12596926140 18685440441 20761600490 24913920588 31142400735 37370880882 41523200980 56056321323 62284801470 74741761764 93427202205 112112642646 124569602940 186854404410 224225285292 280281606615 373708808820 560563213230 1121126426460