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97875694920636 = 223219421443767243
BaseRepresentation
bin10110010000010001110110…
…000001110010001110111100
3110211112211021110112101011100
4112100101312001302032330
5100312043410344430021
6544055250140253100
726421166650662043
oct2620216601621674
9424484243471140
1097875694920636
1129205938194446
12ab88b70241190
13427c83b81a099
141a252cd36d55a
15b4ae88902626
hex5904760723bc

97875694920636 has 144 divisors (see below), whose sum is σ = 261637692301440. Its totient is φ = 30765053854080.

The previous prime is 97875694920631. The next prime is 97875694920683. The reversal of 97875694920636 is 63602949657879.

97875694920636 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 5 + 69 + 492 + 0 + 63 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97875694920631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127184431 + ... + 127951673.

It is an arithmetic number, because the mean of its divisors is an integer number (1816928418760).

Almost surely, 297875694920636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97875694920636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130818846150720).

97875694920636 is an abundant number, since it is smaller than the sum of its proper divisors (163761997380804).

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

97875694920636 is a wasteful number, since it uses less digits than its factorization.

97875694920636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768136 (or 768131 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

The spelling of 97875694920636 in words is "ninety-seven trillion, eight hundred seventy-five billion, six hundred ninety-four million, nine hundred twenty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 421 443 684 842 886 1263 1329 1684 1772 2526 2658 3789 3987 5052 5316 7578 7974 7999 8417 15156 15948 15998 16834 23997 25251 31996 33668 47994 50502 71991 75753 95988 101004 143982 151506 186503 287964 303012 373006 559509 746012 767243 1119018 1534486 1678527 2238036 2301729 3068972 3357054 3543557 4603458 6714108 6905187 7087114 9206916 10630671 13810374 14174228 14577617 21261342 27620748 29155234 31892013 42522684 43732851 58310468 63784026 87465702 127568052 131198553 174931404 262397106 323009303 339888649 524794212 646018606 679777298 969027909 1019665947 1292037212 1359554596 1938055818 2039331894 2907083727 3058997841 3876111636 4078663788 5814167454 6117995682 6137176757 6457884331 11628334908 12235991364 12274353514 12915768662 18411530271 19373652993 24548707028 25831537324 36823060542 38747305986 55234590813 58120958979 73646121084 77494611972 110469181626 116241917958 143093121229 220938363252 232483835916 286186242458 429279363687 572372484916 858558727374 1287838091061 1717117454748 2575676182122 2718769303351 5151352364244 5437538606702 8156307910053 10875077213404 16312615820106 24468923730159 32625231640212 48937847460318 97875694920636