Search a number
-
+
1566690086088 = 2333192916138161
BaseRepresentation
bin10110110011000110000…
…000011000110011001000
312112202220022210112022000
4112303012000120303020
5201132040130223323
63155421045431000
7221122020002301
oct26630600306310
95482808715260
101566690086088
1155447a78a116
1221377540b460
13b4979bba2ca
1455b848457a8
152ab470e9e43
hex16cc6018cc8

1566690086088 has 256 divisors, whose sum is σ = 4742448480000. Its totient is φ = 477329448960.

The previous prime is 1566690086081. The next prime is 1566690086111. The reversal of 1566690086088 is 8806800966651.

It is a super-2 number, since 2×15666900860882 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1566690086081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191968728 + ... + 191976888.

It is an arithmetic number, because the mean of its divisors is an integer number (18525189375).

Almost surely, 21566690086088 is an apocalyptic number.

1566690086088 is a gapful number since it is divisible by the number (18) 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 1566690086088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371224240000).

1566690086088 is an abundant number, since it is smaller than the sum of its proper divisors (3175758393912).

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

1566690086088 is a wasteful number, since it uses less digits than its factorization.

1566690086088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9837 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 1566690086088 in words is "one trillion, five hundred sixty-six billion, six hundred ninety million, eighty-six thousand, eighty-eight".