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42060553656000 = 2635311538873389
BaseRepresentation
bin10011001000000111111000…
…10111000001011011000000
312111220221122022011022021120
421210003330113001123000
521003110003213443000
6225242203540152240
711600526505115655
oct1144037427013300
9174827568138246
1042060553656000
1112446865027960
12487374a398680
131a613a71a95c9
14a55a5517dc2c
154ce158d636a0
hex2640fc5c16c0

42060553656000 has 896 divisors, whose sum is σ = 154588071905280. Its totient is φ = 9989883904000.

The previous prime is 42060553655993. The next prime is 42060553656031. The reversal of 42060553656000 is 65635506024.

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 127 ways as a sum of consecutive naturals, for example, 12410902306 + ... + 12410905694.

Almost surely, 242060553656000 is an apocalyptic number.

42060553656000 is a gapful number since it is divisible by the number (40) 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 42060553656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77294035952640).

42060553656000 is an abundant number, since it is smaller than the sum of its proper divisors (112527518249280).

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

42060553656000 is a wasteful number, since it uses less digits than its factorization.

42060553656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 42060553656000 in words is "forty-two trillion, sixty billion, five hundred fifty-three million, six hundred fifty-six thousand".