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93414485164 = 2271113229101879
BaseRepresentation
bin101011011111111101…
…1111110110010101100
322221010012211112012211
41112333323332302230
53012303102011124
6110525232340204
76514620010540
oct1267773766254
9287105745184
1093414485164
1136687050360
12161303a4664
138a6934a2c0
144742599a20
15266aee5e94
hex15bfefecac

93414485164 has 96 divisors (see below), whose sum is σ = 220452019200. Its totient is φ = 33448584960.

The previous prime is 93414485107. The next prime is 93414485191. The reversal of 93414485164 is 46158441439.

It is a super-2 number, since 2×934144851642 (a number of 23 digits) contains 22 as substring.

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, 865977 + ... + 967855.

It is an arithmetic number, because the mean of its divisors is an integer number (2296375200).

Almost surely, 293414485164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93414485164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110226009600).

93414485164 is an abundant number, since it is smaller than the sum of its proper divisors (127037534036).

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

93414485164 is a wasteful number, since it uses less digits than its factorization.

93414485164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102143 (or 102141 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The spelling of 93414485164 in words is "ninety-three billion, four hundred fourteen million, four hundred eighty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 229 286 308 364 458 572 916 1001 1603 2002 2519 2977 3206 4004 5038 5954 6412 10076 11908 17633 20839 32747 35266 41678 65494 70532 83356 101879 130988 203758 229229 407516 458458 713153 916916 1120669 1324427 1426306 2241338 2648854 2852612 4482676 5297708 7844683 9270989 14568697 15689366 18541978 23330291 29137394 31378732 37083956 46660582 58274788 93321164 101980879 163312037 203961758 256633201 303293783 326624074 407923516 513266402 606587566 653248148 1026532804 1213175132 1796432407 2123056481 3336231613 3592864814 4246112962 6672463226 7185729628 8492225924 13344926452 23353621291 46707242582 93414485164