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136433302016 = 291135836761
BaseRepresentation
bin111111100010000001…
…1101111101000000000
3111001011021022211220212
41333010003233220000
54213403411131031
6142402051053252
712566641634624
oct1770403575000
9431137284825
10136433302016
1152952051160
12225372a1228
13cb33971b0b
146863a6b184
153837a3c12b
hex1fc40efa00

136433302016 has 80 divisors (see below), whose sum is σ = 297508958208. Its totient is φ = 61988659200.

The previous prime is 136433301989. The next prime is 136433302043. The reversal of 136433302016 is 610203334631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136433301989) and next prime (136433302043).

It is a super-2 number, since 2×1364333020162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20176076 + ... + 20182836.

Almost surely, 2136433302016 is an apocalyptic number.

136433302016 is a gapful number since it is divisible by the number (16) 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 136433302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148754479104).

136433302016 is an abundant number, since it is smaller than the sum of its proper divisors (161075656192).

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

136433302016 is an equidigital number, since it uses as much as digits as its factorization.

136433302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10373 (or 10357 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 136433302016 its reverse (610203334631), we get a palindrome (746636636647).

The spelling of 136433302016 in words is "one hundred thirty-six billion, four hundred thirty-three million, three hundred two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 3583 5632 6761 7166 13522 14332 27044 28664 39413 54088 57328 74371 78826 108176 114656 148742 157652 216352 229312 297484 315304 432704 458624 594968 630608 865408 917248 1189936 1261216 1730816 1834496 2379872 2522432 3461632 4759744 5044864 9519488 10089728 19038976 20179456 24224663 38077952 48449326 96898652 193797304 266471293 387594608 532942586 775189216 1065885172 1550378432 2131770344 3100756864 4263540688 6201513728 8527081376 12403027456 17054162752 34108325504 68216651008 136433302016