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61335323640 = 23325295875031
BaseRepresentation
bin111001000111110111…
…101100001111111000
312212022120020021102100
4321013313230033320
52001103320324030
644102124503400
74300642435353
oct710767541770
9185276207370
1061335323640
1124015211518
12ba790aab60
135a262b2316
142d7bd6b29a
1518deabe360
hexe47dec3f8

61335323640 has 96 divisors (see below), whose sum is σ = 206213623200. Its totient is φ = 15792080640.

The previous prime is 61335323603. The next prime is 61335323641. The reversal of 61335323640 is 4632353316.

61335323640 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 5 + 3 + 2 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61335323595 and 61335323604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61335323641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2927076 + ... + 2947955.

It is an arithmetic number, because the mean of its divisors is an integer number (2148058575).

Almost surely, 261335323640 is an apocalyptic number.

61335323640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61335323640 is an abundant number, since it is smaller than the sum of its proper divisors (144878299560).

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

61335323640 is a wasteful number, since it uses less digits than its factorization.

61335323640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875077 (or 5875070 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 61335323640 its reverse (4632353316), we get a palindrome (65967676956).

The spelling of 61335323640 in words is "sixty-one billion, three hundred thirty-five million, three hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 5875031 11750062 17625093 23500124 29375155 35250186 47000248 52875279 58750310 70500372 88125465 105750558 117500620 141000744 170375899 176250930 211501116 235001240 264376395 340751798 352501860 423002232 511127697 528752790 681503596 705003720 851879495 1022255394 1057505580 1363007192 1533383091 1703758990 2044510788 2115011160 2555638485 3066766182 3407517980 4089021576 5111276970 6133532364 6815035960 7666915455 10222553940 12267064728 15333830910 20445107880 30667661820 61335323640