Search a number
-
+
68646076560 = 24335250312697
BaseRepresentation
bin111111111011101000…
…000000000010010000
320120012001201000002000
4333323220000002100
52111041343422220
651311403354000
74650054010665
oct777350000220
9216161630060
1068646076560
1127126a14386
1211379522900
13661caac519
143472c99a6c
151bbb81d390
hexffba00090

68646076560 has 160 divisors (see below), whose sum is σ = 236560692480. Its totient is φ = 18296865792.

The previous prime is 68646076531. The next prime is 68646076573. The reversal of 68646076560 is 6567064686.

68646076560 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 6 + 0 + 76 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68646076497 and 68646076506.

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, 5400132 + ... + 5412828.

It is an arithmetic number, because the mean of its divisors is an integer number (1478504328).

Almost surely, 268646076560 is an apocalyptic number.

68646076560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68646076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118280346240).

68646076560 is an abundant number, since it is smaller than the sum of its proper divisors (167914615920).

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

68646076560 is a wasteful number, since it uses less digits than its factorization.

68646076560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222 (or 15210 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 68646076560 in words is "sixty-eight billion, six hundred forty-six million, seventy-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2503 5006 7509 10012 12515 12697 15018 20024 22527 25030 25394 30036 37545 38091 40048 45054 50060 50788 60072 63485 67581 75090 76182 90108 100120 101576 112635 114273 120144 126970 135162 150180 152364 180216 190455 200240 203152 225270 228546 253940 270324 300360 304728 337905 342819 360432 380910 450540 457092 507880 540648 571365 600720 609456 675810 685638 761820 901080 914184 1015760 1081296 1142730 1351620 1371276 1523640 1714095 1802160 1828368 2285460 2703240 2742552 3047280 3428190 4570920 5406480 5485104 6856380 9141840 13712760 27425520 31780591 63561182 95341773 127122364 158902955 190683546 254244728 286025319 317805910 381367092 476708865 508489456 572050638 635611820 762734184 858075957 953417730 1144101276 1271223640 1430126595 1525468368 1716151914 1906835460 2288202552 2542447280 2860253190 3432303828 3813670920 4290379785 4576405104 5720506380 6864607656 7627341840 8580759570 11441012760 13729215312 17161519140 22882025520 34323038280 68646076560