Search a number
-
+
16800678688768 = 211132321192883
BaseRepresentation
bin1111010001111011011001…
…1111000011100000000000
32012111010111011222111200021
43310132312133003200000
54200230242221020033
655422043015103224
73352544323412122
oct364366637034000
965433434874607
1016800678688768
115398145144077
121a74101371b14
1394b3b2c51b70
1442122b471212
151e2056a80b2d
hexf47b67c3800

16800678688768 has 144 divisors (see below), whose sum is σ = 37818585965160. Its totient is φ = 7417015812096.

The previous prime is 16800678688697. The next prime is 16800678688789. The reversal of 16800678688768 is 86788687600861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13487655 + ... + 14680537.

Almost surely, 216800678688768 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 16800678688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909292982580).

16800678688768 is an abundant number, since it is smaller than the sum of its proper divisors (21017907276392).

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

16800678688768 is a wasteful number, since it uses less digits than its factorization.

16800678688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192964 (or 1192921 counting only the distinct ones).

The product of its (nonzero) digits is 2080899072, while the sum is 79.

The spelling of 16800678688768 in words is "sixteen trillion, eight hundred billion, six hundred seventy-eight million, six hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 529 598 736 832 1024 1058 1196 1472 1664 2048 2116 2392 2944 3328 4232 4784 5888 6656 6877 8464 9568 11776 13312 13754 16928 19136 23552 26624 27508 33856 38272 47104 55016 67712 76544 110032 135424 153088 220064 270848 306176 440128 541696 612352 880256 1083392 1192883 1760512 2385766 3521024 4771532 7042048 9543064 14084096 15507479 19086128 27436309 31014958 38172256 54872618 62029916 76344512 109745236 124059832 152689024 219490472 248119664 305378048 356672017 438980944 496239328 610756096 631035107 713344034 877961888 992478656 1221512192 1262070214 1426688068 1755923776 1984957312 2443024384 2524140428 2853376136 3511847552 3969914624 5048280856 5706752272 7023695104 7939829248 8203456391 10096561712 11413504544 14047390208 15879658496 16406912782 20193123424 22827009088 28094780416 31759316992 32813825564 40386246848 45654018176 56189560832 65627651128 80772493696 91308036352 131255302256 161544987392 182616072704 262510604512 323089974784 365232145408 525021209024 646179949568 730464290816 1050042418048 1292359899136 2100084836096 4200169672192 8400339344384 16800678688768