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97263337680 = 2433582754449
BaseRepresentation
bin101101010010101011…
…0001100000011010000
3100022001110010111022000
41122211112030003100
53043143403301210
6112403202514000
710012163505105
oct1324526140320
9308043114260
1097263337680
1138281689203
1216a25365900
13923085a722
1449c9806aac
1527e3d61ac0
hex16a558c0d0

97263337680 has 160 divisors (see below), whose sum is σ = 335429424000. Its totient is φ = 25905051648.

The previous prime is 97263337679. The next prime is 97263337711. The reversal of 97263337680 is 8673336279.

97263337680 is a `hidden beast` number, since 9 + 7 + 263 + 3 + 376 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1759096 + ... + 1813544.

It is an arithmetic number, because the mean of its divisors is an integer number (2096433900).

Almost surely, 297263337680 is an apocalyptic number.

97263337680 is a gapful number since it is divisible by the number (90) 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 97263337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167714712000).

97263337680 is an abundant number, since it is smaller than the sum of its proper divisors (238166086320).

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

97263337680 is a wasteful number, since it uses less digits than its factorization.

97263337680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55298 (or 55286 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 97263337680 in words is "ninety-seven billion, two hundred sixty-three million, three hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 827 1080 1654 2160 2481 3308 4135 4962 6616 7443 8270 9924 12405 13232 14886 16540 19848 22329 24810 29772 33080 37215 39696 44658 49620 54449 59544 66160 74430 89316 99240 108898 111645 119088 148860 163347 178632 198480 217796 223290 272245 297720 326694 357264 435592 446580 490041 544490 595440 653388 816735 871184 893160 980082 1088980 1306776 1470123 1633470 1786320 1960164 2177960 2450205 2613552 2940246 3266940 3920328 4355920 4900410 5880492 6533880 7350615 7840656 9800820 11760984 13067760 14701230 19601640 23521968 29402460 39203280 45029323 58804920 90058646 117609840 135087969 180117292 225146615 270175938 360234584 405263907 450293230 540351876 675439845 720469168 810527814 900586460 1080703752 1215791721 1350879690 1621055628 1801172920 2026319535 2161407504 2431583442 2701759380 3242111256 3602345840 4052639070 4863166884 5403518760 6078958605 6484222512 8105278140 9726333768 10807037520 12157917210 16210556280 19452667536 24315834420 32421112560 48631668840 97263337680