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42950747100 = 223527119910133
BaseRepresentation
bin101000000000000100…
…000110001111011100
311002212022102000120010
4220000010012033130
51200430342401400
631421543323220
73050234220012
oct500004061734
9132768360503
1042950747100
1117240639008
1283a8150510
1340864b0771
1421164328b2
1511b5a9c450
hexa001063dc

42950747100 has 144 divisors (see below), whose sum is σ = 126666892800. Its totient is φ = 11234361600.

The previous prime is 42950746987. The next prime is 42950747113. The reversal of 42950747100 is 174705924.

It is a super-3 number, since 3×429507471003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4233634 + ... + 4243766.

It is an arithmetic number, because the mean of its divisors is an integer number (879631200).

Almost surely, 242950747100 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 42950747100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63333446400).

42950747100 is an abundant number, since it is smaller than the sum of its proper divisors (83716145700).

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

42950747100 is a wasteful number, since it uses less digits than its factorization.

42950747100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 42950747100 in words is "forty-two billion, nine hundred fifty million, seven hundred forty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 199 213 284 300 355 398 426 597 710 796 852 995 1065 1194 1420 1775 1990 2130 2388 2985 3550 3980 4260 4975 5325 5970 7100 9950 10133 10650 11940 14129 14925 19900 20266 21300 28258 29850 30399 40532 42387 50665 56516 59700 60798 70645 84774 101330 121596 141290 151995 169548 202660 211935 253325 282580 303990 353225 423870 506650 607980 706450 719443 759975 847740 1013300 1059675 1412900 1438886 1519950 2016467 2119350 2158329 2877772 3039900 3597215 4032934 4238700 4316658 6049401 7194430 8065868 8633316 10082335 10791645 12098802 14388860 17986075 20164670 21583290 24197604 30247005 35972150 40329340 43166580 50411675 53958225 60494010 71944300 100823350 107916450 120988020 143169157 151235025 201646700 215832900 286338314 302470050 429507471 572676628 604940100 715845785 859014942 1431691570 1718029884 2147537355 2863383140 3579228925 4295074710 7158457850 8590149420 10737686775 14316915700 21475373550 42950747100