Search a number
-
+
53997765960 = 23353764718797
BaseRepresentation
bin110010010010100001…
…001000010101001000
312011101012022201112210
4302102201020111020
51341041412002320
640450051305120
73621054303045
oct622241102510
9164335281483
1053997765960
112099a370866
12a56b8ab1a0
13512708b608
1428836621cc
1516108280e0
hexc92848548

53997765960 has 128 divisors (see below), whose sum is σ = 166637502720. Its totient is φ = 13987832832.

The previous prime is 53997765917. The next prime is 53997765971. The reversal of 53997765960 is 6956779935.

It is a super-3 number, since 3×539977659603 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53997765891 and 53997765900.

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, 2863282 + ... + 2882078.

It is an arithmetic number, because the mean of its divisors is an integer number (1301855490).

Almost surely, 253997765960 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 53997765960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83318751360).

53997765960 is an abundant number, since it is smaller than the sum of its proper divisors (112639736760).

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

53997765960 is a wasteful number, since it uses less digits than its factorization.

53997765960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19495 (or 19491 counting only the distinct ones).

The product of its (nonzero) digits is 96446700, while the sum is 66.

The spelling of 53997765960 in words is "fifty-three billion, nine hundred ninety-seven million, seven hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 647 740 888 1110 1294 1480 1941 2220 2588 3235 3882 4440 5176 6470 7764 9705 12940 15528 18797 19410 23939 25880 37594 38820 47878 56391 71817 75188 77640 93985 95756 112782 119695 143634 150376 187970 191512 225564 239390 281955 287268 359085 375940 451128 478780 563910 574536 695489 718170 751880 957560 1127820 1390978 1436340 2086467 2255640 2781956 2872680 3477445 4172934 5563912 6954890 8345868 10432335 12161659 13909780 16691736 20864670 24323318 27819560 36484977 41729340 48646636 60808295 72969954 83458680 97293272 121616590 145939908 182424885 243233180 291879816 364849770 449981383 486466360 729699540 899962766 1349944149 1459399080 1799925532 2249906915 2699888298 3599851064 4499813830 5399776596 6749720745 8999627660 10799553192 13499441490 17999255320 26998882980 53997765960