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61359083996 = 22722698771327
BaseRepresentation
bin111001001001010010…
…010101000111011100
312212101012221102111112
4321021102111013130
52001130411141441
644104334041152
74301351415500
oct711122250734
9185335842445
1061359083996
112402766aa81
12ba850491b8
135a2b1b11c2
142d81194300
1518e1c144eb
hexe494951dc

61359083996 has 72 divisors (see below), whose sum is σ = 125611456320. Its totient is φ = 26149398912.

The previous prime is 61359083993. The next prime is 61359083999. The reversal of 61359083996 is 69938095316.

It is an interprime number because it is at equal distance from previous prime (61359083993) and next prime (61359083999).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61359083993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46238285 + ... + 46239611.

It is an arithmetic number, because the mean of its divisors is an integer number (1744603560).

Almost surely, 261359083996 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 61359083996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62805728160).

61359083996 is an abundant number, since it is smaller than the sum of its proper divisors (64252372324).

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

61359083996 is a wasteful number, since it uses less digits than its factorization.

61359083996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 59.

The spelling of 61359083996 in words is "sixty-one billion, three hundred fifty-nine million, eighty-three thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 269 538 877 1076 1327 1754 1883 2654 3508 3766 5308 6139 7532 9289 12278 13181 18578 24556 26362 37156 42973 52724 65023 85946 130046 171892 235913 260092 356963 471826 713926 943652 1163779 1427852 1651391 2327558 2498741 3302782 4655116 4997482 6605564 8146453 9994964 11559737 16292906 17491187 23119474 32585812 34982374 46238948 57025171 69964748 114050342 228100684 313056551 626113102 1252226204 2191395857 4382791714 8765583428 15339770999 30679541998 61359083996