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61232644332 = 22342373911119
BaseRepresentation
bin111001000001110000…
…000000000011101100
312212001102000121220000
4321001300000003230
52000401024104312
644044020024300
74265254613646
oct710160000354
9185042017800
1061232644332
1123a7225aa92
12ba4a832090
135a0ac41132
142d6c47d896
1518d5a8aadc
hexe41c000ec

61232644332 has 120 divisors (see below), whose sum is σ = 167275046400. Its totient is φ = 19495279584.

The previous prime is 61232644303. The next prime is 61232644357. The reversal of 61232644332 is 23344623216.

61232644332 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 2 + 644 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5501469 + ... + 5512587.

It is an arithmetic number, because the mean of its divisors is an integer number (1393958720).

Almost surely, 261232644332 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 61232644332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83637523200).

61232644332 is an abundant number, since it is smaller than the sum of its proper divisors (106042402068).

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

61232644332 is a wasteful number, since it uses less digits than its factorization.

61232644332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11897 (or 11886 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 61232644332 in words is "sixty-one billion, two hundred thirty-two million, six hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 739 828 1242 1478 1863 2217 2484 2956 3726 4434 6651 7452 8868 11119 13302 16997 19953 22238 26604 33357 33994 39906 44476 50991 59859 66714 67988 79812 100071 101982 119718 133428 152973 200142 203964 239436 255737 300213 305946 400284 458919 511474 600426 611892 767211 900639 917838 1022948 1200852 1376757 1534422 1801278 1835676 2301633 2753514 3068844 3602556 4603266 5507028 6904899 8216941 9206532 13809798 16433882 20714697 24650823 27619596 32867764 41429394 49301646 73952469 82858788 98603292 147904938 188989643 221857407 295809876 377979286 443714814 566968929 665572221 755958572 887429628 1133937858 1331144442 1700906787 2267875716 2662288884 3401813574 5102720361 6803627148 10205440722 15308161083 20410881444 30616322166 61232644332