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1055957742960 = 243525117529179
BaseRepresentation
bin11110101110110111111…
…11000111010101110000
310201221121111210022000120
433113123333013111300
5114300100140233320
62125033355050240
7136201421501541
oct17273377072560
93657544708016
101055957742960
1137791368745a
1215079a140980
137876542a353
14391741064c8
151c704198440
hexf5dbfc7570

1055957742960 has 80 divisors (see below), whose sum is σ = 3286510899840. Its totient is φ = 280466848000.

The previous prime is 1055957742943. The next prime is 1055957742979. The reversal of 1055957742960 is 692477595501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10559577429602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1055957742894 and 1055957742903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8704350 + ... + 8824829.

It is an arithmetic number, because the mean of its divisors is an integer number (41081386248).

Almost surely, 21055957742960 is an apocalyptic number.

1055957742960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055957742960 is an abundant number, since it is smaller than the sum of its proper divisors (2230553156880).

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

1055957742960 is a wasteful number, since it uses less digits than its factorization.

1055957742960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17529446 (or 17529440 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 60.

The spelling of 1055957742960 in words is "one trillion, fifty-five billion, nine hundred fifty-seven million, seven hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 251 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 10040 12048 15060 20080 30120 60240 17529179 35058358 52587537 70116716 87645895 105175074 140233432 175291790 210350148 262937685 280466864 350583580 420700296 525875370 701167160 841400592 1051750740 1402334320 2103501480 4207002960 4399823929 8799647858 13199471787 17599295716 21999119645 26398943574 35198591432 43998239290 52797887148 65997358935 70397182864 87996478580 105595774296 131994717870 175992957160 211191548592 263989435740 351985914320 527978871480 1055957742960