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1055458358010 = 23257334190423
BaseRepresentation
bin11110101101111100011…
…10000111001011111010
310201220022201002220122200
433112332032013023322
5114243034314424020
62124512035331030
7136153146006000
oct17267616071372
93656281086580
101055458358010
11377687800121
1215067aa50a76
13786b5b2c1b4
1439127a70a70
151c6c5402590
hexf5be3872fa

1055458358010 has 96 divisors (see below), whose sum is σ = 3200223686400. Its totient is φ = 241247617632.

The previous prime is 1055458357991. The next prime is 1055458358029. The reversal of 1055458358010 is 108538545501.

1055458358010 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 4 + 58 + 3 + 580 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (1055458357991) and next prime (1055458358029).

It is a super-2 number, since 2×10554583580102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17064342 + ... + 17126081.

It is an arithmetic number, because the mean of its divisors is an integer number (33335663400).

Almost surely, 21055458358010 is an apocalyptic number.

1055458358010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1055458358010 is an abundant number, since it is smaller than the sum of its proper divisors (2144765328390).

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

1055458358010 is a wasteful number, since it uses less digits than its factorization.

1055458358010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34190457 (or 34190440 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 1055458358010 in words is "one trillion, fifty-five billion, four hundred fifty-eight million, three hundred fifty-eight thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 882 1029 1470 1715 2058 2205 3087 3430 4410 5145 6174 10290 15435 30870 34190423 68380846 102571269 170952115 205142538 239332961 307713807 341904230 478665922 512856345 615427614 717998883 1025712690 1196664805 1435997766 1538569035 1675330727 2153996649 2393329610 3077138070 3350661454 3589994415 4307993298 5025992181 7179988830 8376653635 10051984362 10769983245 11727315089 15077976543 16753307270 21539966490 23454630178 25129960905 30155953086 35181945267 50259921810 58636575445 70363890534 75389882715 105545835801 117273150890 150779765430 175909726335 211091671602 351819452670 527729179005 1055458358010