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14728396896 = 25321719158329
BaseRepresentation
bin11011011011110000…
…11000000001100000
31102000110002002021100
431231320120001200
5220130432200041
610433252354400
71030661210433
oct155570300140
942013062240
1014728396896
116278883644
122a30615a00
1315094b1665
149da12381a
155b30646b6
hex36de18060

14728396896 has 144 divisors (see below), whose sum is σ = 46682017200. Its totient is φ = 4377452544.

The previous prime is 14728396861. The next prime is 14728396931. The reversal of 14728396896 is 69869382741.

14728396896 is a `hidden beast` number, since 1 + 472 + 83 + 9 + 6 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (14728396861) and next prime (14728396931).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×147283968962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13860 + ... + 172188.

It is an arithmetic number, because the mean of its divisors is an integer number (324180675).

Almost surely, 214728396896 is an apocalyptic number.

14728396896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14728396896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23341008600).

14728396896 is an abundant number, since it is smaller than the sum of its proper divisors (31953620304).

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

14728396896 is a wasteful number, since it uses less digits than its factorization.

14728396896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158381 (or 158370 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 14728396896 in words is "fourteen billion, seven hundred twenty-eight million, three hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 68 72 76 96 102 114 136 144 152 153 171 204 228 272 288 304 306 323 342 408 456 544 608 612 646 684 816 912 969 1224 1292 1368 1632 1824 1938 2448 2584 2736 2907 3876 4896 5168 5472 5814 7752 10336 11628 15504 23256 31008 46512 93024 158329 316658 474987 633316 949974 1266632 1424961 1899948 2533264 2691593 2849922 3008251 3799896 5066528 5383186 5699844 6016502 7599792 8074779 9024753 10766372 11399688 12033004 15199584 16149558 18049506 21532744 22799376 24066008 24224337 27074259 32299116 36099012 43065488 45598752 48132016 48448674 51140267 54148518 64598232 72198024 86130976 96264032 96897348 102280534 108297036 129196464 144396048 153420801 193794696 204561068 216594072 258392928 288792096 306841602 387589392 409122136 433188144 460262403 613683204 775178784 818244272 866376288 920524806 1227366408 1636488544 1841049612 2454732816 3682099224 4909465632 7364198448 14728396896