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10116403066304 = 261731476381719
BaseRepresentation
bin1001001100110110100010…
…0111000111010111000000
31022211010012112010200220022
42103031220213013113000
52311221343141110204
633303224510433012
72062612620155453
oct223155047072700
938733175120808
1010116403066304
113250384884667
121174762b02768
13584c85097352
1426d8ca88349a
1512823e2405be
hex933689c75c0

10116403066304 has 112 divisors (see below), whose sum is σ = 22408107909120. Its totient is φ = 4509066670080.

The previous prime is 10116403066303. The next prime is 10116403066333. The reversal of 10116403066304 is 40366030461101.

It is a super-2 number, since 2×101164030663042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116403066303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605644 + ... + 4776075.

Almost surely, 210116403066304 is an apocalyptic number.

It is an amenable number.

10116403066304 is an abundant number, since it is smaller than the sum of its proper divisors (12291704842816).

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

10116403066304 is a wasteful number, since it uses less digits than its factorization.

10116403066304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381826 (or 6381816 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 10116403066304 in words is "ten trillion, one hundred sixteen billion, four hundred three million, sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 47 62 64 68 94 124 136 188 248 272 376 496 527 544 752 799 992 1054 1088 1457 1504 1598 1984 2108 2914 3008 3196 4216 5828 6392 8432 11656 12784 16864 23312 24769 25568 33728 46624 49538 51136 93248 99076 198152 396304 792608 1585216 6381719 12763438 25526876 51053752 102107504 108489223 197833289 204215008 216978446 299940793 395666578 408430016 433956892 599881586 791333156 867913784 1199763172 1582666312 1735827568 2399526344 3165332624 3363165913 3471655136 4799052688 5098993481 6330665248 6726331826 6943310272 9298164583 9598105376 10197986962 12661330496 13452663652 18596329166 19196210752 20395973924 26905327304 37192658332 40791947848 53810654608 74385316664 81583895696 107621309216 148770633328 158068797911 163167791392 215242618432 297541266656 316137595822 326335582784 595082533312 632275191644 1264550383288 2529100766576 5058201533152 10116403066304