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97350543342 = 232132375771499
BaseRepresentation
bin101101010101010001…
…0110110011111101110
3100022021112012222222100
41122222202312133232
53043333214341332
6112415555555530
710014302652033
oct1325242663756
9308245188870
1097350543342
11383169310a8
1216a4a5bbba6
139245941800
1449d722738a
1527eb83a67c
hex16aa8b67ee

97350543342 has 144 divisors (see below), whose sum is σ = 235135602000. Its totient is φ = 29074526208.

The previous prime is 97350543341. The next prime is 97350543373. The reversal of 97350543342 is 24334505379.

97350543342 is a `hidden beast` number, since 9 + 73 + 5 + 0 + 543 + 34 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97350543341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64942909 + ... + 64944407.

It is an arithmetic number, because the mean of its divisors is an integer number (1632886125).

Almost surely, 297350543342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97350543342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117567801000).

97350543342 is an abundant number, since it is smaller than the sum of its proper divisors (137785058658).

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

97350543342 is a wasteful number, since it uses less digits than its factorization.

97350543342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 97350543342 in words is "ninety-seven billion, three hundred fifty million, five hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 169 222 234 333 338 481 507 577 666 962 1014 1154 1443 1499 1521 1731 2886 2998 3042 3462 4329 4497 5193 6253 7501 8658 8994 10386 12506 13491 15002 18759 19487 21349 22503 26982 37518 38974 42698 45006 55463 56277 58461 64047 67509 97513 110926 112554 116922 128094 135018 166389 175383 192141 195026 253331 277537 292539 332778 350766 384282 499167 506662 555074 585078 721019 759993 832611 864923 877617 998334 1442038 1519986 1665222 1729846 1755234 2163057 2279979 2497833 2594769 3607981 4326114 4559958 4995666 5189538 6489171 7215962 7784307 9373247 10823943 11243999 12978342 15568614 18746494 21647886 22487998 28119741 32002151 32471829 33731997 56239482 64004302 64943658 67463994 84359223 96006453 101195991 146171987 168718446 192012906 202391982 288019359 292343974 416027963 438515961 576038718 832055926 877031922 1248083889 1315547883 2496167778 2631095766 3744251667 5408363519 7488503334 10816727038 16225090557 32450181114 48675271671 97350543342