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107214005416 = 23730742114813
BaseRepresentation
bin110001111011001110…
…0111110010010101000
3101020201221001210021111
41203312130332102220
53224033241133131
6121130424120104
710513602003160
oct1436634762250
9336657053244
10107214005416
1141518569151
1218941906034
13a1582646bb
1452911a75a0
152bc7727ab1
hex18f673e4a8

107214005416 has 64 divisors (see below), whose sum is σ = 231055735680. Its totient is φ = 45687317760.

The previous prime is 107214005389. The next prime is 107214005419. The reversal of 107214005416 is 614500412701.

It is a super-2 number, since 2×1072140054162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107214005419) 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, 7230426 + ... + 7245238.

It is an arithmetic number, because the mean of its divisors is an integer number (3610245870).

Almost surely, 2107214005416 is an apocalyptic number.

It is an amenable number.

107214005416 is an abundant number, since it is smaller than the sum of its proper divisors (123841730264).

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

107214005416 is a wasteful number, since it uses less digits than its factorization.

107214005416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15554 (or 15550 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 107214005416 in words is "one hundred seven billion, two hundred fourteen million, five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 307 421 614 842 1228 1684 2149 2456 2947 3368 4298 5894 8596 11788 14813 17192 23576 29626 59252 103691 118504 129247 207382 258494 414764 516988 829528 904729 1033976 1809458 3618916 4547591 6236273 7237832 9095182 12472546 18190364 24945092 31833137 36380728 43653911 49890184 63666274 87307822 127332548 174615644 254665096 349231288 1914535811 3829071622 7658143244 13401750677 15316286488 26803501354 53607002708 107214005416