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1120804297632 = 253243142363601
BaseRepresentation
bin10000010011110101001…
…001000101101110100000
310222010222210000120220200
4100103311021011232200
5121330401400011012
62214520153505200
7143655401224335
oct20236511055640
93863883016820
101120804297632
113a236a8967a8
12161277112200
13818cacabc66
143c36651698c
151e24c1423dc
hex104f5245ba0

1120804297632 has 144 divisors (see below), whose sum is σ = 3263753420928. Its totient is φ = 364650854400.

The previous prime is 1120804297621. The next prime is 1120804297661. The reversal of 1120804297632 is 2367924080211.

1120804297632 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 8 + 0 + 4 + 2 + 9 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 17590632 + ... + 17654232.

It is an arithmetic number, because the mean of its divisors is an integer number (22664954312).

Almost surely, 21120804297632 is an apocalyptic number.

1120804297632 is a gapful number since it is divisible by the number (12) 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 1120804297632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631876710464).

1120804297632 is an abundant number, since it is smaller than the sum of its proper divisors (2142949123296).

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

1120804297632 is a wasteful number, since it uses less digits than its factorization.

1120804297632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65083 (or 65072 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1120804297632 in words is "one trillion, one hundred twenty billion, eight hundred four million, two hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1423 1548 2064 2846 3096 4128 4269 5692 6192 8538 11384 12384 12807 17076 22768 25614 34152 45536 51228 61189 63601 68304 102456 122378 127202 136608 183567 190803 204912 244756 254404 367134 381606 409824 489512 508808 550701 572409 734268 763212 979024 1017616 1101402 1144818 1468536 1526424 1958048 2035232 2202804 2289636 2734843 2937072 3052848 4405608 4579272 5469686 5874144 6105696 8204529 8811216 9158544 10939372 16409058 17622432 18317088 21878744 24613587 32818116 43757488 49227174 65636232 87514976 90504223 98454348 131272464 181008446 196908696 262544928 271512669 362016892 393817392 543025338 724033784 787634784 814538007 1086050676 1448067568 1629076014 2172101352 2896135136 3258152028 3891681589 4344202704 6516304056 7783363178 8688405408 11675044767 13032608112 15566726356 23350089534 26065216224 31133452712 35025134301 46700179068 62266905424 70050268602 93400358136 124533810848 140100537204 186800716272 280201074408 373601432544 560402148816 1120804297632