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1055758418440 = 235115297452983
BaseRepresentation
bin11110101110100000001…
…10110000001000001000
310201221002121201120011221
433113100012300020020
5114244143123342230
62125001514531424
7136163451326515
oct17272006601010
93657077646157
101055758418440
11377821115a50
12150743436b74
137873304b64b
143915585c30c
151c6e192427a
hexf5d01b0208

1055758418440 has 64 divisors (see below), whose sum is σ = 2591901970560. Its totient is φ = 383838827520.

The previous prime is 1055758418423. The next prime is 1055758418441. The reversal of 1055758418440 is 448148575501.

It is a happy number.

It is a super-2 number, since 2×10557584184402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055758418441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2104189 + ... + 2557171.

It is an arithmetic number, because the mean of its divisors is an integer number (40498468290).

Almost surely, 21055758418440 is an apocalyptic number.

1055758418440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055758418440 is an abundant number, since it is smaller than the sum of its proper divisors (1536143552120).

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

1055758418440 is a wasteful number, since it uses less digits than its factorization.

1055758418440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458302 (or 458298 counting only the distinct ones).

The product of its (nonzero) digits is 3584000, while the sum is 52.

The spelling of 1055758418440 in words is "one trillion, fifty-five billion, seven hundred fifty-eight million, four hundred eighteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5297 10594 21188 26485 42376 52970 58267 105940 116534 211880 233068 291335 452983 466136 582670 905966 1165340 1811932 2264915 2330680 3623864 4529830 4982813 9059660 9965626 18119320 19931252 24914065 39862504 49828130 99656260 199312520 2399450951 4798901902 9597803804 11997254755 19195607608 23994509510 26393960461 47989019020 52787920922 95978038040 105575841844 131969802305 211151683688 263939604610 527879209220 1055758418440