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61940463168 = 2632336738219
BaseRepresentation
bin111001101011111100…
…000111011001000000
312220212201220112210110
4321223330013121000
52003323224310133
644242143031320
74321641151503
oct715374073100
9186781815713
1061940463168
11242a585a831
121000789b540
135ac178a34c
142dd849113a
151927ca4c63
hexe6bf07640

61940463168 has 112 divisors (see below), whose sum is σ = 171479992320. Its totient is φ = 19694805504.

The previous prime is 61940463157. The next prime is 61940463217. The reversal of 61940463168 is 86136404916.

61940463168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1601563 + ... + 1639781.

It is an arithmetic number, because the mean of its divisors is an integer number (1531071360).

Almost surely, 261940463168 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 61940463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85739996160).

61940463168 is an abundant number, since it is smaller than the sum of its proper divisors (109539529152).

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

61940463168 is a wasteful number, since it uses less digits than its factorization.

61940463168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38624 (or 38614 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 61940463168 in words is "sixty-one billion, nine hundred forty million, four hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 367 368 552 734 736 1101 1104 1468 1472 2202 2208 2936 4404 4416 5872 8441 8808 11744 16882 17616 23488 25323 33764 35232 38219 50646 67528 70464 76438 101292 114657 135056 152876 202584 229314 270112 305752 405168 458628 540224 611504 810336 879037 917256 1223008 1620672 1758074 1834512 2446016 2637111 3516148 3669024 5274222 7032296 7338048 10548444 14026373 14064592 21096888 28052746 28129184 42079119 42193776 56105492 56258368 84158238 84387552 112210984 168316476 168775104 224421968 322606579 336632952 448843936 645213158 673265904 897687872 967819737 1290426316 1346531808 1935639474 2580852632 2693063616 3871278948 5161705264 7742557896 10323410528 15485115792 20646821056 30970231584 61940463168