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14545284072 = 23311312696607
BaseRepresentation
bin11011000101111011…
…10110101111101000
31101112200111222200220
431202331312233220
5214242043042242
610403151530040
71023305606004
oct154275665750
941480458626
1014545284072
116194485230
12299b229920
1314aa58a987
149bda99704
155a1e43bec
hex362f76be8

14545284072 has 128 divisors (see below), whose sum is σ = 41107046400. Its totient is φ = 4248979200.

The previous prime is 14545284053. The next prime is 14545284077. The reversal of 14545284072 is 27048254541.

It is not an unprimeable number, because it can be changed into a prime (14545284077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2198193 + ... + 2204799.

It is an arithmetic number, because the mean of its divisors is an integer number (321148800).

Almost surely, 214545284072 is an apocalyptic number.

14545284072 is a gapful number since it is divisible by the number (12) 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 14545284072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553523200).

14545284072 is an abundant number, since it is smaller than the sum of its proper divisors (26561762328).

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

14545284072 is a wasteful number, since it uses less digits than its factorization.

14545284072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 14545284072 in words is "fourteen billion, five hundred forty-five million, two hundred eighty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 269 341 372 538 682 744 807 1023 1076 1364 1614 2046 2152 2728 2959 3228 4092 5918 6456 6607 8184 8339 8877 11836 13214 16678 17754 19821 23672 25017 26428 33356 35508 39642 50034 52856 66712 71016 72677 79284 91729 100068 145354 158568 183458 200136 204817 218031 275187 290708 366916 409634 436062 550374 581416 614451 733832 819268 872124 1100748 1228902 1638536 1744248 1777283 2201496 2252987 2457804 3554566 4505974 4915608 5331849 6758961 7109132 9011948 10663698 13517922 14218264 18023896 19550113 21327396 27035844 39100226 42654792 54071688 55095773 58650339 78200452 110191546 117300678 156400904 165287319 220383092 234601356 330574638 440766184 469202712 606053503 661149276 1212107006 1322298552 1818160509 2424214012 3636321018 4848428024 7272642036 14545284072