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61531355652 = 223134171135497
BaseRepresentation
bin111001010011100011…
…011111101000000100
312212211020002201210020
4321103203133220010
52002004011340102
644133410255140
74305542615304
oct712343375004
9185736081706
1061531355652
1124105934248
12bb128874b0
135a57aaa4b0
142d99dd9604
151901de2bbc
hexe538dfa04

61531355652 has 96 divisors (see below), whose sum is σ = 160620413184. Its totient is φ = 18210662400.

The previous prime is 61531355629. The next prime is 61531355701. The reversal of 61531355652 is 25655313516.

61531355652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×615313556522 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386368 + ... + 521864.

It is an arithmetic number, because the mean of its divisors is an integer number (1673129304).

Almost surely, 261531355652 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 61531355652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80310206592).

61531355652 is an abundant number, since it is smaller than the sum of its proper divisors (99089057532).

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

61531355652 is a wasteful number, since it uses less digits than its factorization.

61531355652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135629 (or 135627 counting only the distinct ones).

The product of its digits is 405000, while the sum is 42.

The spelling of 61531355652 in words is "sixty-one billion, five hundred thirty-one million, three hundred fifty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 71 78 82 123 142 156 164 213 246 284 426 492 533 852 923 1066 1599 1846 2132 2769 2911 3198 3692 5538 5822 6396 8733 11076 11644 17466 34932 37843 75686 113529 135497 151372 227058 270994 406491 454116 541988 812982 1625964 1761461 3522922 5284383 5555377 7045844 9620287 10568766 11110754 16666131 19240574 21137532 22221508 28860861 33332262 38481148 57721722 66664524 72219901 115443444 125063731 144439802 216659703 250127462 288879604 375191193 394431767 433319406 500254924 750382386 788863534 866638812 1183295301 1500764772 1577727068 2366590602 4733181204 5127612971 10255225942 15382838913 20510451884 30765677826 61531355652