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10556060006040 = 2335535071644031
BaseRepresentation
bin1001100110011100011000…
…1101001111011010011000
31101101011000222020100011220
42121213012031033122120
52340422302330143130
634241215332452040
72136436002405543
oct231470615173230
941334028210156
1010556060006040
1133aa88874a81a
121225a0317a020
135b75806916b3
14286cb783185a
151348c2458410
hex999c634f698

10556060006040 has 64 divisors (see below), whose sum is σ = 31668791132160. Its totient is φ = 2814895013760.

The previous prime is 10556060006027. The next prime is 10556060006101. The reversal of 10556060006040 is 4060006065501.

10556060006040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105560600060402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10556060005992 and 10556060006010.

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, 5598825 + ... + 7242855.

It is an arithmetic number, because the mean of its divisors is an integer number (494824861440).

Almost surely, 210556060006040 is an apocalyptic number.

10556060006040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10556060006040 is an abundant number, since it is smaller than the sum of its proper divisors (21112731126120).

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

10556060006040 is a wasteful number, since it uses less digits than its factorization.

10556060006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697552 (or 1697548 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10556060006040 in words is "ten trillion, five hundred fifty-six billion, sixty million, six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 53507 107014 160521 214028 267535 321042 428056 535070 642084 802605 1070140 1284168 1605210 1644031 2140280 3210420 3288062 4932093 6420840 6576124 8220155 9864186 13152248 16440310 19728372 24660465 32880620 39456744 49320930 65761240 98641860 197283720 87967166717 175934333434 263901500151 351868666868 439835833585 527803000302 703737333736 879671667170 1055606000604 1319507500755 1759343334340 2111212001208 2639015001510 3518686668680 5278030003020 10556060006040