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42200211104 = 254761945329
BaseRepresentation
bin100111010011010101…
…000001111010100000
311000221000010211201122
4213103111001322200
51142411223223404
631215252551412
73022521606302
oct472325017240
9130830124648
1042200211104
1116995a12227
128218922568
133c96b5901c
1420848a1972
15116ec463be
hex9d3541ea0

42200211104 has 48 divisors (see below), whose sum is σ = 84988310400. Its totient is φ = 20617350144.

The previous prime is 42200211077. The next prime is 42200211107. The reversal of 42200211104 is 40111200224.

It is not an unprimeable number, because it can be changed into a prime (42200211107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908312 + ... + 953640.

It is an arithmetic number, because the mean of its divisors is an integer number (1770589800).

Almost surely, 242200211104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42494155200).

42200211104 is an abundant number, since it is smaller than the sum of its proper divisors (42788099296).

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

42200211104 is a wasteful number, since it uses less digits than its factorization.

42200211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46005 (or 45997 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 42200211104 its reverse (40111200224), we get a palindrome (82311411328).

The spelling of 42200211104 in words is "forty-two billion, two hundred million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 47 94 188 376 619 752 1238 1504 2476 4952 9904 19808 29093 45329 58186 90658 116372 181316 232744 362632 465488 725264 930976 1450528 2130463 4260926 8521852 17043704 28058651 34087408 56117302 68174816 112234604 224469208 448938416 897876832 1318756597 2637513194 5275026388 10550052776 21100105552 42200211104