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102717483067640 = 23572385918568009
BaseRepresentation
bin10111010110101111000111…
…000101110010100011111000
3111110200200210000010122010102
4113112233013011302203320
5101430410401131131030
61002243432115534532
730431043662120450
oct2726570705624370
9443620700118112
10102717483067640
112a802270397091
12b62b4052ba448
1345412a8c4468c
141b517a48b0d60
15bd1db664cc45
hex5d6bc71728f8

102717483067640 has 128 divisors (see below), whose sum is σ = 275935483008000. Its totient is φ = 33647013024768.

The previous prime is 102717483067483. The next prime is 102717483067681. The reversal of 102717483067640 is 46760384717201.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 3752045 + ... + 14815964.

It is an arithmetic number, because the mean of its divisors is an integer number (2155745961000).

Almost surely, 2102717483067640 is an apocalyptic number.

102717483067640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102717483067640 is an abundant number, since it is smaller than the sum of its proper divisors (173217999940360).

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

102717483067640 is a wasteful number, since it uses less digits than its factorization.

102717483067640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18568909 (or 18568905 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 56.

The spelling of 102717483067640 in words is "one hundred two trillion, seven hundred seventeen billion, four hundred eighty-three million, sixty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 859 920 1288 1610 1718 3220 3436 4295 6013 6440 6872 8590 12026 17180 19757 24052 30065 34360 39514 48104 60130 79028 98785 120260 138299 158056 197570 240520 276598 395140 553196 691495 790280 1106392 1382990 2765980 5531960 18568009 37136018 74272036 92840045 129976063 148544072 185680090 259952126 371360180 427064207 519904252 649880315 742720360 854128414 1039808504 1299760630 1708256828 2135321035 2599521260 2989449449 3416513656 4270642070 5199042520 5978898898 8541284140 11957797796 14947247245 15949919731 17082568280 23915595592 29894494490 31899839462 59788988980 63799678924 79749598655 111649438117 119577977960 127599357848 159499197310 223298876234 318998394620 366848153813 446597752468 558247190585 637996789240 733696307626 893195504936 1116494381170 1467392615252 1834240769065 2232988762340 2567937076691 2934785230504 3668481538130 4465977524680 5135874153382 7336963076260 10271748306764 12839685383455 14673926152520 20543496613528 25679370766910 51358741533820 102717483067640