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35141620009956 = 22323852114942461
BaseRepresentation
bin1111111110110000010111…
…10001110000101111100100
311121102111122220211210112020
413333120023301300233210
514101230014210304311
6202423500512023140
710254620050360635
oct777301361605744
9147374586753466
1035141620009956
11102195283a0159
123b36821531ab0
13167bac08b6075
14896c1358388c
1540e1aa56ec06
hex1ff60bc70be4

35141620009956 has 48 divisors (see below), whose sum is σ = 85572252302208. Its totient is φ = 11203258809600.

The previous prime is 35141620009901. The next prime is 35141620009957. The reversal of 35141620009956 is 65990002614153.

It is a junction number, because it is equal to n+sod(n) for n = 35141620009899 and 35141620009908.

It is not an unprimeable number, because it can be changed into a prime (35141620009957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5119435 + ... + 9823026.

It is an arithmetic number, because the mean of its divisors is an integer number (1782755256296).

Almost surely, 235141620009956 is an apocalyptic number.

It is an amenable number.

35141620009956 is an abundant number, since it is smaller than the sum of its proper divisors (50430632292252).

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

35141620009956 is a wasteful number, since it uses less digits than its factorization.

35141620009956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14951012 (or 14951010 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 35141620009956 in words is "thirty-five trillion, one hundred forty-one billion, six hundred twenty million, nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 8521 17042 25563 34084 51126 102252 195983 391966 587949 783932 1175898 2351796 14942461 29884922 44827383 59769844 89654766 179309532 343676603 687353206 1031029809 1374706412 2062059618 4124119236 127324710181 254649420362 381974130543 509298840724 763948261086 1527896522172 2928468334163 5856936668326 8785405002489 11713873336652 17570810004978 35141620009956