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61337558934 = 2351723931063
BaseRepresentation
bin111001001000000000…
…001101111110010110
312212022201102211200000
4321020000031332112
52001104403341214
644102244432130
74301000435301
oct711000157626
9185281384600
1061337558934
11240164a8973
12ba799a8646
135a268b5892
142d7c38db38
1518dedb1809
hexe4800df96

61337558934 has 96 divisors (see below), whose sum is σ = 146542556160. Its totient is φ = 19162023552.

The previous prime is 61337558929. The next prime is 61337558939. The reversal of 61337558934 is 43985573316.

It is an interprime number because it is at equal distance from previous prime (61337558929) and next prime (61337558939).

It is a super-2 number, since 2×613375589342 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61337558939) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1959087 + ... + 1990149.

It is an arithmetic number, because the mean of its divisors is an integer number (1526484960).

Almost surely, 261337558934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61337558934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73271278080).

61337558934 is an abundant number, since it is smaller than the sum of its proper divisors (85204997226).

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

61337558934 is a wasteful number, since it uses less digits than its factorization.

61337558934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31336 (or 31324 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 61337558934 in words is "sixty-one billion, three hundred thirty-seven million, five hundred fifty-eight thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 239 243 306 459 478 486 717 918 1377 1434 2151 2754 4063 4131 4302 6453 8126 8262 12189 12906 19359 24378 31063 36567 38718 58077 62126 73134 93189 109701 116154 186378 219402 279567 329103 528071 559134 658206 838701 987309 1056142 1584213 1677402 1974618 2516103 3168426 4752639 5032206 7424057 7548309 9505278 14257917 14848114 15096618 22272171 28515834 42773751 44544342 66816513 85547502 126208969 128321253 133633026 200449539 252417938 256642506 378626907 400899078 601348617 757253814 1135880721 1202697234 1804045851 2271761442 3407642163 3608091702 6815284326 10222926489 20445852978 30668779467 61337558934