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10552067040 = 253528178233
BaseRepresentation
bin10011101001111001…
…11100001111100000
31000020101120112201210
421310330330033200
5133102312121130
64503023230120
7522330042564
oct116474741740
930211515653
1010552067040
114525404169
122065a48340
13cc21a2768
147215cd6a4
1541b5ad5b0
hex274f3c3e0

10552067040 has 96 divisors (see below), whose sum is σ = 33357725856. Its totient is φ = 2803834880.

The previous prime is 10552067033. The next prime is 10552067041. The reversal of 10552067040 is 4076025501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105520670402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10552066989 and 10552067007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552067041) 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, 95764 + ... + 173996.

It is an arithmetic number, because the mean of its divisors is an integer number (347476311).

Almost surely, 210552067040 is an apocalyptic number.

10552067040 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 10552067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678862928).

10552067040 is an abundant number, since it is smaller than the sum of its proper divisors (22805658816).

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

10552067040 is a wasteful number, since it uses less digits than its factorization.

10552067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78532 (or 78524 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 10552067040 in words is "ten billion, five hundred fifty-two million, sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 281 480 562 843 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 8430 8992 11240 13488 16860 22480 26976 33720 44960 67440 78233 134880 156466 234699 312932 391165 469398 625864 782330 938796 1173495 1251728 1564660 1877592 2346990 2503456 3129320 3755184 4693980 6258640 7510368 9387960 12517280 18775920 21983473 37551840 43966946 65950419 87933892 109917365 131900838 175867784 219834730 263801676 329752095 351735568 439669460 527603352 659504190 703471136 879338920 1055206704 1319008380 1758677840 2110413408 2638016760 3517355680 5276033520 10552067040