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121917453064 = 231119193377809
BaseRepresentation
bin111000110001011011…
…0001011001100001000
3102122200122012022121121
41301202312023030020
53444141331444224
6132001430045024
711544141152401
oct1614266131410
9378618168547
10121917453064
1147783250a80
121b765aa9774
13b65c51bc94
145c87c749a8
1532884aebe4
hex1c62d8b308

121917453064 has 64 divisors (see below), whose sum is σ = 263862504000. Its totient is φ = 52228177920.

The previous prime is 121917452971. The next prime is 121917453071. The reversal of 121917453064 is 460354719121.

It is a happy number.

It is a super-2 number, since 2×1219174530642 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121917453064.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133792 + ... + 511600.

It is an arithmetic number, because the mean of its divisors is an integer number (4122851625).

Almost surely, 2121917453064 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 121917453064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131931252000).

121917453064 is an abundant number, since it is smaller than the sum of its proper divisors (141945050936).

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

121917453064 is a wasteful number, since it uses less digits than its factorization.

121917453064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378038 (or 378034 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 121917453064 in words is "one hundred twenty-one billion, nine hundred seventeen million, four hundred fifty-three thousand, sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 193 209 386 418 772 836 1544 1672 2123 3667 4246 7334 8492 14668 16984 29336 40337 80674 161348 322696 377809 755618 1511236 3022472 4155899 7178371 8311798 14356742 16623596 28713484 33247192 57426968 72917137 78962081 145834274 157924162 291668548 315848324 583337096 631696648 802088507 1385425603 1604177014 2770851206 3208354028 5541702412 6416708056 11083404824 15239681633 30479363266 60958726532 121917453064