Search a number
-
+
121766648784 = 2431110113916427
BaseRepresentation
bin111000101100111011…
…0111001101111010000
3102122022010102200000220
41301121312321233100
53443334230230114
6131534441513040
711540330302644
oct1613166715720
9378263380026
10121766648784
114770610a540
121b7234a2780
13b6371cac91
145c71c1ac24
15327a1220a9
hex1c59db9bd0

121766648784 has 160 divisors (see below), whose sum is σ = 349072657920. Its totient is φ = 36268608000.

The previous prime is 121766648779. The next prime is 121766648797. The reversal of 121766648784 is 487846667121.

It is a congruent number.

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, 7404379 + ... + 7420805.

It is an arithmetic number, because the mean of its divisors is an integer number (2181704112).

Almost surely, 2121766648784 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 121766648784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174536328960).

121766648784 is an abundant number, since it is smaller than the sum of its proper divisors (227306009136).

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

121766648784 is a wasteful number, since it uses less digits than its factorization.

121766648784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16689 (or 16683 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 60.

The spelling of 121766648784 in words is "one hundred twenty-one billion, seven hundred sixty-six million, six hundred forty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 139 176 202 264 278 303 404 417 528 556 606 808 834 1111 1112 1212 1529 1616 1668 2222 2224 2424 3058 3333 3336 4444 4587 4848 6116 6666 6672 8888 9174 12232 13332 14039 16427 17776 18348 24464 26664 28078 32854 36696 42117 49281 53328 56156 65708 73392 84234 98562 112312 131416 154429 168468 180697 197124 224624 262832 308858 336936 361394 394248 463287 542091 617716 673872 722788 788496 926574 1084182 1235432 1445576 1659127 1853148 2168364 2283353 2470864 2891152 3318254 3706296 4336728 4566706 4977381 6636508 6850059 7412592 8673456 9133412 9954762 13273016 13700118 18250397 18266824 19909524 25116883 26546032 27400236 36500794 36533648 39819048 50233766 54751191 54800472 73001588 75350649 79638096 100467532 109502382 109600944 146003176 150701298 200935064 219004764 230618653 292006352 301402596 401870128 438009528 461237306 602805192 691855959 876019056 922474612 1205610384 1383711918 1844949224 2536805183 2767423836 3689898448 5073610366 5534847672 7610415549 10147220732 11069695344 15220831098 20294441464 30441662196 40588882928 60883324392 121766648784