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1055458312788 = 22311312571003627
BaseRepresentation
bin11110101101111100011…
…01111100001001010100
310201220022201000121121210
433112332031330021110
5114243034312002123
62124512034341420
7136153145430105
oct17267615741124
93656281017553
101055458312788
1137768777a150
1215067aa2a870
13786b5b14739
1439127a5c3ac
151c6c53e3e93
hexf5be37c254

1055458312788 has 96 divisors (see below), whose sum is σ = 2784080130048. Its totient is φ = 308313907200.

The previous prime is 1055458312787. The next prime is 1055458312789. The reversal of 1055458312788 is 8872138545501.

It is an interprime number because it is at equal distance from previous prime (1055458312787) and next prime (1055458312789).

It is a super-2 number, since 2×10554583127882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055458312787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549831 + ... + 1553457.

It is an arithmetic number, because the mean of its divisors is an integer number (29000834688).

Almost surely, 21055458312788 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 1055458312788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392040065024).

1055458312788 is an abundant number, since it is smaller than the sum of its proper divisors (1728621817260).

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

1055458312788 is a wasteful number, since it uses less digits than its factorization.

1055458312788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003933 (or 1003931 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 57.

The spelling of 1055458312788 in words is "one trillion, fifty-five billion, four hundred fifty-eight million, three hundred twelve thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 257 341 372 514 682 771 1023 1028 1364 1542 2046 2827 3084 4092 5654 7967 8481 11308 15934 16962 23901 31868 33924 47802 87637 95604 175274 262911 350548 525822 1003627 1051644 2007254 3010881 4014508 6021762 11039897 12043524 22079794 31112437 33119691 44159588 62224874 66239382 93337311 124449748 132478764 186674622 257932139 342236807 373349244 515864278 684473614 773796417 1026710421 1031728556 1368947228 1547592834 2053420842 2837253529 3095185668 4106841684 5674507058 7995896309 8511760587 11349014116 15991792618 17023521174 23987688927 31983585236 34047042348 47975377854 87954859399 95950755708 175909718798 263864578197 351819437596 527729156394 1055458312788