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105038337048 = 23353389212281
BaseRepresentation
bin110000111010011000…
…1011101010000011000
3101001010022011101100120
41201310301131100120
53210104303241143
6120130504033240
710405643063541
oct1416461352030
9331108141316
10105038337048
1140601448317
1218435162820
139b9c5a1c78
1451262614c8
152aeb715383
hex1874c5d418

105038337048 has 64 divisors (see below), whose sum is σ = 268239535200. Its totient is φ = 34263690240.

The previous prime is 105038337029. The next prime is 105038337071. The reversal of 105038337048 is 840733830501.

It is a super-2 number, since 2×1050383370482 (a number of 23 digits) contains 22 as substring.

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, 388668 + ... + 600948.

Almost surely, 2105038337048 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 105038337048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134119767600).

105038337048 is an abundant number, since it is smaller than the sum of its proper divisors (163201198152).

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

105038337048 is a wasteful number, since it uses less digits than its factorization.

105038337048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212732 (or 212728 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 105038337048 in words is "one hundred five billion, thirty-eight million, three hundred thirty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 389 424 636 778 1167 1272 1556 2334 3112 4668 9336 20617 41234 61851 82468 123702 164936 212281 247404 424562 494808 636843 849124 1273686 1698248 2547372 5094744 11250893 22501786 33752679 45003572 67505358 82577309 90007144 135010716 165154618 247731927 270021432 330309236 495463854 660618472 990927708 1981855416 4376597377 8753194754 13129792131 17506389508 26259584262 35012779016 52519168524 105038337048