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61048715292 = 22324759797741
BaseRepresentation
bin111000110110110010…
…010111100000011100
312211120120221001200100
4320312302113200130
52000011432342132
644013445501100
74260562342455
oct706662274034
9184516831610
1061048715292
1123988454414
12b9b9111790
1359abac2a96
142d51c8212c
1518c485837c
hexe36c9781c

61048715292 has 144 divisors (see below), whose sum is σ = 162321868800. Its totient is φ = 19328699520.

The previous prime is 61048715267. The next prime is 61048715311. The reversal of 61048715292 is 29251784016.

61048715292 is a `hidden beast` number, since 6 + 10 + 48 + 71 + 529 + 2 = 666.

61048715292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7882542 + ... + 7890282.

It is an arithmetic number, because the mean of its divisors is an integer number (1127235200).

Almost surely, 261048715292 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 61048715292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81160934400).

61048715292 is an abundant number, since it is smaller than the sum of its proper divisors (101273153508).

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

61048715292 is a wasteful number, since it uses less digits than its factorization.

61048715292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7936 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 61048715292 in words is "sixty-one billion, forty-eight million, seven hundred fifteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 59 79 94 118 141 158 177 188 236 237 282 316 354 423 474 531 564 708 711 846 948 1062 1422 1692 2124 2773 2844 3713 4661 5546 7426 7741 8319 9322 11092 11139 13983 14852 15482 16638 18644 22278 23223 24957 27966 30964 33276 33417 41949 44556 46446 49914 55932 66834 69669 83898 92892 99828 133668 139338 167796 219067 278676 363827 438134 456719 611539 657201 727654 876268 913438 1091481 1223078 1314402 1370157 1455308 1826876 1834617 1971603 2182962 2446156 2628804 2740314 3274443 3669234 3943206 4110471 4365924 5480628 5503851 6548886 7338468 7886412 8220942 11007702 13097772 16441884 21465793 22015404 28742333 36080801 42931586 57484666 64397379 72161602 85863172 86226999 108242403 114969332 128794758 144323204 172453998 193192137 216484806 257589516 258680997 324727209 344907996 386384274 432969612 517361994 649454418 772768548 1034723988 1298908836 1695797647 3391595294 5087392941 6783190588 10174785882 15262178823 20349571764 30524357646 61048715292