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61055097831 = 327131738911273
BaseRepresentation
bin111000110111001010…
…101101101111100111
312211121000221022212200
4320313022231233213
52000020101112311
644014234345543
74261000524450
oct706712555747
9184530838780
1061055097831
1123991013742
12b9bb28b2b3
1359b0218c30
142d52a64127
1518c51b9556
hexe372adbe7

61055097831 has 96 divisors (see below), whose sum is σ = 115232906880. Its totient is φ = 30229880832.

The previous prime is 61055097827. The next prime is 61055097847. The reversal of 61055097831 is 13879055016.

It is a happy number.

61055097831 is a `hidden beast` number, since 6 + 1 + 0 + 550 + 97 + 8 + 3 + 1 = 666.

It is not a de Polignac number, because 61055097831 - 22 = 61055097827 is a prime.

It is a super-2 number, since 2×610550978312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61055097811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5410411 + ... + 5421683.

It is an arithmetic number, because the mean of its divisors is an integer number (1200342780).

Almost surely, 261055097831 is an apocalyptic number.

61055097831 is a deficient number, since it is larger than the sum of its proper divisors (54177809049).

61055097831 is a wasteful number, since it uses less digits than its factorization.

61055097831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705 (or 11702 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 61055097831 in words is "sixty-one billion, fifty-five million, ninety-seven thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 389 663 819 1071 1167 1547 1989 2723 3501 4641 5057 6613 8169 11273 13923 15171 19839 24507 33819 35399 45513 46291 59517 78911 85969 101457 106197 138873 146549 191641 236733 257907 318591 416619 439647 574923 601783 710199 773721 1025843 1318941 1341487 1724769 1805349 2491333 3077529 4024461 4385197 5416047 7473999 9232587 12073383 13155591 17439331 22421997 30696379 39466773 52317993 57007561 74548349 92089137 156953979 171022683 223645047 276267411 399052927 513068049 521838443 670935141 969128537 1197158781 1565515329 2907385611 3591476343 4696545987 6783899759 8722156833 20351699277 61055097831