Search a number
-
+
1552660660060 = 2252330755719739
BaseRepresentation
bin10110100110000001110…
…010010111111101011100
312111102200120221211210121
4112212001302113331130
5200414322112110220
63145141002244324
7220114243565506
oct26460162277534
95442616854717
101552660660060
11549530512754
12210abaab66a4
13b35524777a3
14552134acd76
152a5c5602eaa
hex16981c97f5c

1552660660060 has 96 divisors (see below), whose sum is σ = 3419736122880. Its totient is φ = 591033408768.

The previous prime is 1552660660043. The next prime is 1552660660063. The reversal of 1552660660060 is 600660662551.

It is a junction number, because it is equal to n+sod(n) for n = 1552660659989 and 1552660660016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1552660660063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78649671 + ... + 78669409.

It is an arithmetic number, because the mean of its divisors is an integer number (35622251280).

Almost surely, 21552660660060 is an apocalyptic number.

1552660660060 is a gapful number since it is divisible by the number (10) 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 1552660660060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709868061440).

1552660660060 is an abundant number, since it is smaller than the sum of its proper divisors (1867075462820).

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

1552660660060 is a wasteful number, since it uses less digits than its factorization.

1552660660060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20635 (or 20633 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 1552660660060 in words is "one trillion, five hundred fifty-two billion, six hundred sixty million, six hundred sixty thousand, sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 307 460 557 614 1114 1228 1535 2228 2785 3070 5570 6140 7061 11140 12811 14122 19739 25622 28244 35305 39478 51244 64055 70610 78956 98695 128110 141220 170999 197390 256220 341998 394780 453997 683996 854995 907994 1709990 1815988 2269985 3419980 3932977 4539970 6059873 7865954 9079940 10994623 12119746 15731908 19664885 21989246 24239492 30299365 39329770 43978492 54973115 60598730 78659540 109946230 121197460 139377079 219892460 252876329 278754158 505752658 557508316 696885395 1011505316 1264381645 1393770790 2528763290 2787541580 3375349261 5057526580 6750698522 13501397044 16876746305 33753492610 67506985220 77633033003 155266066006 310532132012 388165165015 776330330030 1552660660060