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1055725746560 = 2758930760373
BaseRepresentation
bin11110101110011100010…
…10000111100110000000
310201221000100020122210022
433113032022013212000
5114244111242342220
62124554350353012
7136162603532312
oct17271612074600
93657010218708
101055725746560
113778047300a1
121507344bb768
137872934c484
14391513957b2
151c6ddb1d925
hexf5ce287980

1055725746560 has 128 divisors (see below), whose sum is σ = 2560557938400. Its totient is φ = 416178487296.

The previous prime is 1055725746547. The next prime is 1055725746571. The reversal of 1055725746560 is 656475275501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10557257465602 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17456534 + ... + 17516906.

Almost surely, 21055725746560 is an apocalyptic number.

1055725746560 is a gapful number since it is divisible by the number (10) 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 1055725746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280278969200).

1055725746560 is an abundant number, since it is smaller than the sum of its proper divisors (1504832191840).

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

1055725746560 is an equidigital number, since it uses as much as digits as its factorization.

1055725746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60788 (or 60776 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 53.

The spelling of 1055725746560 in words is "one trillion, fifty-five billion, seven hundred twenty-five million, seven hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 307 320 356 445 614 640 712 890 1228 1424 1535 1780 2456 2848 3070 3560 4912 5696 6140 7120 9824 11392 12280 14240 19648 24560 27323 28480 39296 49120 54646 56960 60373 98240 109292 120746 136615 196480 218584 241492 273230 301865 437168 482984 546460 603730 874336 965968 1092920 1207460 1748672 1931936 2185840 2414920 3497344 3863872 4371680 4829840 5373197 7727744 8743360 9659680 10746394 17486720 18534511 19319360 21492788 26865985 37069022 38638720 42985576 53731970 74138044 85971152 92672555 107463940 148276088 171942304 185345110 214927880 296552176 343884608 370690220 429855760 593104352 687769216 741380440 859711520 1186208704 1482760880 1649571479 1719423040 2372417408 2965521760 3299142958 3438846080 5931043520 6598285916 8247857395 11862087040 13196571832 16495714790 26393143664 32991429580 52786287328 65982859160 105572574656 131965718320 211145149312 263931436640 527862873280 1055725746560