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91554664068 = 22337287719727
BaseRepresentation
bin101010101000100010…
…1010100111010000100
322202022121020211022000
41111101011110322010
53000000443222233
6110020514105300
76420544542600
oct1252105247204
9282277224260
1091554664068
113591224822a
12158b157b230
138830c4384a
144607590500
1525acac2d13
hex1551154e84

91554664068 has 144 divisors (see below), whose sum is σ = 276446096640. Its totient is φ = 26127323712.

The previous prime is 91554664043. The next prime is 91554664147. The reversal of 91554664068 is 86046645519.

91554664068 is a `hidden beast` number, since 91 + 5 + 546 + 6 + 4 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4631221 + ... + 4650947.

It is an arithmetic number, because the mean of its divisors is an integer number (1919764560).

Almost surely, 291554664068 is an apocalyptic number.

91554664068 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91554664068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138223048320).

91554664068 is an abundant number, since it is smaller than the sum of its proper divisors (184891432572).

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

91554664068 is a wasteful number, since it uses less digits than its factorization.

91554664068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20631 (or 20616 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 91554664068 in words is "ninety-one billion, five hundred fifty-four million, six hundred sixty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 877 882 1323 1754 1764 2631 2646 3508 5262 5292 6139 7893 10524 12278 15786 18417 19727 23679 24556 31572 36834 39454 42973 47358 55251 59181 73668 78908 85946 94716 110502 118362 128919 138089 165753 171892 177543 221004 236724 257838 276178 331506 355086 386757 414267 515676 532629 552356 663012 710172 773514 828534 966623 1065258 1160271 1242801 1547028 1657068 1933246 2130516 2320542 2485602 2899869 3728403 3866492 4641084 4971204 5799738 7456806 8699607 11599476 14913612 17300579 17399214 26098821 34601158 34798428 51901737 52197642 69202316 103803474 104395284 121104053 155705211 207606948 242208106 311410422 363312159 467115633 484416212 622820844 726624318 847728371 934231266 1089936477 1453248636 1695456742 1868462532 2179872954 2543185113 3269809431 3390913484 4359745908 5086370226 6539618862 7629555339 10172740452 13079237724 15259110678 22888666017 30518221356 45777332034 91554664068