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10552455040 = 275294712097
BaseRepresentation
bin10011101001111100…
…11010111110000000
31000020102022020222011
421310332122332000
5133102412030130
64503035422304
7522333250021
oct116476327600
930212266864
1010552455040
114525649726
122065bb4994
13cc22aa24a
14721690c48
1541b63852a
hex274f9af80

10552455040 has 128 divisors (see below), whose sum is σ = 26654313600. Its totient is φ = 3988389888.

The previous prime is 10552455029. The next prime is 10552455061. The reversal of 10552455040 is 4055425501.

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

It is a super-2 number, since 2×105524550402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10552454993 and 10552455011.

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, 866272 + ... + 878368.

It is an arithmetic number, because the mean of its divisors is an integer number (208236825).

Almost surely, 210552455040 is an apocalyptic number.

10552455040 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 10552455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13327156800).

10552455040 is an abundant number, since it is smaller than the sum of its proper divisors (16101858560).

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

10552455040 is a wasteful number, since it uses less digits than its factorization.

10552455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192 (or 12180 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

The spelling of 10552455040 in words is "ten billion, five hundred fifty-two million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 47 58 64 80 94 116 128 145 160 188 232 235 290 320 376 464 470 580 640 752 928 940 1160 1363 1504 1856 1880 2320 2726 3008 3712 3760 4640 5452 6016 6815 7520 9280 10904 12097 13630 15040 18560 21808 24194 27260 30080 43616 48388 54520 60485 87232 96776 109040 120970 174464 193552 218080 241940 350813 387104 436160 483880 568559 701626 774208 872320 967760 1137118 1403252 1548416 1754065 1935520 2274236 2806504 2842795 3508130 3871040 4548472 5613008 5685590 7016260 7742080 9096944 11226016 11371180 14032520 16488211 18193888 22452032 22742360 28065040 32976422 36387776 44904064 45484720 56130080 65952844 72775552 82441055 90969440 112260160 131905688 164882110 181938880 224520320 263811376 329764220 363877760 527622752 659528440 1055245504 1319056880 2110491008 2638113760 5276227520 10552455040