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97781036542 = 2724347736763
BaseRepresentation
bin101101100010000110…
…1000011010111111110
3100100101112021022121221
41123010031003113332
53100223421132132
6112530414543554
710031051045200
oct1330415032776
9310345238557
1097781036542
1138517934002
1216b4a807bba
1392b3b9b707
144a38488770
152824523e97
hex16c43435fe

97781036542 has 96 divisors (see below), whose sum is σ = 180769577472. Its totient is φ = 39506092416.

The previous prime is 97781036527. The next prime is 97781036569. The reversal of 97781036542 is 24563018779.

It is a Cunningham number, because it is equal to 46073-1.

It is a super-2 number, since 2×977810365422 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97781036542.

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, 14454853 + ... + 14461615.

It is an arithmetic number, because the mean of its divisors is an integer number (1883016432).

It is a 2-persistent number, because it is pandigital, and so is 2⋅97781036542 = 195562073084, but 3⋅97781036542 = 293343109626 is not.

Almost surely, 297781036542 is an apocalyptic number.

97781036542 is a deficient number, since it is larger than the sum of its proper divisors (82988540930).

97781036542 is a wasteful number, since it uses less digits than its factorization.

97781036542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 97781036542 in words is "ninety-seven billion, seven hundred eighty-one million, thirty-six thousand, five hundred forty-two".

Divisors: 1 2 7 14 43 47 49 73 86 94 98 146 301 329 511 602 658 1022 2021 2107 2303 3139 3431 3577 4042 4214 4606 6278 6763 6862 7154 13526 14147 21973 24017 28294 43946 47341 48034 94682 99029 147533 153811 168119 198058 290809 295066 307622 317861 331387 336238 493699 581618 635722 662774 987398 1032731 2035663 2065462 2225027 3455893 4071326 4450054 6911786 7229117 13668023 14249641 14458234 15575189 21229057 23203853 24191251 27336046 28499282 31150378 42458114 46407706 48382502 95676161 148603399 162426971 191352322 297206798 324853942 669733127 997765679 1040223793 1136988797 1339466254 1995531358 2080447586 2273977594 6984359753 13968719506 48890518271 97781036542