Search a number
-
+
16768563960 = 2335234759539
BaseRepresentation
bin11111001110111101…
…11111101011111000
31121021122000022100110
433213132333223320
5233320223021320
611411532304320
71132353304401
oct174736775370
947248008313
1016768563960
117125465325
1232bb9120a0
1317730805c5
14b510769a8
1568220d5e0
hex3e77bfaf8

16768563960 has 64 divisors (see below), whose sum is σ = 50327971200. Its totient is φ = 4469636736.

The previous prime is 16768563919. The next prime is 16768563967. The reversal of 16768563960 is 6936586761.

It is a super-2 number, since 2×167685639602 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16768563960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16768563967) 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, 251871 + ... + 311409.

It is an arithmetic number, because the mean of its divisors is an integer number (786374550).

Almost surely, 216768563960 is an apocalyptic number.

16768563960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16768563960 is an abundant number, since it is smaller than the sum of its proper divisors (33559407240).

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

16768563960 is a wasteful number, since it uses less digits than its factorization.

16768563960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61900 (or 61896 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 16768563960 in words is "sixteen billion, seven hundred sixty-eight million, five hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2347 4694 7041 9388 11735 14082 18776 23470 28164 35205 46940 56328 59539 70410 93880 119078 140820 178617 238156 281640 297695 357234 476312 595390 714468 893085 1190780 1428936 1786170 2381560 3572340 7144680 139738033 279476066 419214099 558952132 698690165 838428198 1117904264 1397380330 1676856396 2096070495 2794760660 3353712792 4192140990 5589521320 8384281980 16768563960