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61339054608 = 243213283115783
BaseRepresentation
bin111001001000000101…
…111011001000010000
312212022211020211100100
4321020011323020100
52001110244221413
644102340452400
74301016234666
oct711005731020
9185284224310
1061339054608
112401732a667
12ba7a3aa100
135a26cba5b0
142d7c65cc36
1518e00a9a73
hexe4817b210

61339054608 has 120 divisors (see below), whose sum is σ = 185523945152. Its totient is φ = 18806701824.

The previous prime is 61339054603. The next prime is 61339054613. The reversal of 61339054608 is 80645093316.

61339054608 is a `hidden beast` number, since 6 + 1 + 3 + 39 + 0 + 5 + 4 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (61339054603) and next prime (61339054613).

It is not an unprimeable number, because it can be changed into a prime (61339054603) 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, 471885 + ... + 587667.

Almost surely, 261339054608 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 61339054608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92761972576).

61339054608 is an abundant number, since it is smaller than the sum of its proper divisors (124184890544).

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

61339054608 is a wasteful number, since it uses less digits than its factorization.

61339054608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116093 (or 116084 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 61339054608 in words is "sixty-one billion, three hundred thirty-nine million, fifty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 283 312 468 566 624 849 936 1132 1698 1872 2264 2547 3396 3679 4528 5094 6792 7358 10188 11037 13584 14716 20376 22074 29432 33111 40752 44148 58864 66222 88296 115783 132444 176592 231566 264888 347349 463132 529776 694698 926264 1042047 1389396 1505179 1852528 2084094 2778792 3010358 4168188 4515537 5557584 6020716 8336376 9031074 12041432 13546611 16672752 18062148 24082864 27093222 32766589 36124296 54186444 65533178 72248592 98299767 108372888 131066356 196599534 216745776 262132712 294899301 393199068 425965657 524265424 589798602 786398136 851931314 1179597204 1277896971 1572796272 1703862628 2359194408 2555793942 3407725256 3833690913 4718388816 5111587884 6815450512 7667381826 10223175768 15334763652 20446351536 30669527304 61339054608