Search a number
-
+
116938407936 = 21537169937
BaseRepresentation
bin110110011101000010…
…0101000000000000000
3102011211122020121201210
41230322010220000000
53403442213023221
6125415403530120
711306562032010
oct1547204500000
9364748217653
10116938407936
1145658756749
121a7b6529940
13b047b1932c
1459348a9c40
1530962e7276
hex1b3a128000

116938407936 has 128 divisors (see below), whose sum is σ = 356380378560. Its totient is φ = 33410777088.

The previous prime is 116938407913. The next prime is 116938407959. The reversal of 116938407936 is 639704839611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116938407913) and next prime (116938407959).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603160 + ... + 773096.

Almost surely, 2116938407936 is an apocalyptic number.

116938407936 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 116938407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178190189280).

116938407936 is an abundant number, since it is smaller than the sum of its proper divisors (239441970624).

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

116938407936 is an frugal number, since it uses more digits than its factorization.

116938407936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169977 (or 169949 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 116938407936 in words is "one hundred sixteen billion, nine hundred thirty-eight million, four hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 32768 43008 49152 57344 86016 98304 114688 169937 172032 229376 339874 344064 509811 679748 688128 1019622 1189559 1359496 2039244 2379118 2718992 3568677 4078488 4758236 5437984 7137354 8156976 9516472 10875968 14274708 16313952 19032944 21751936 28549416 32627904 38065888 43503872 57098832 65255808 76131776 87007744 114197664 130511616 152263552 174015488 228395328 261023232 304527104 348030976 456790656 522046464 609054208 696061952 913581312 1044092928 1218108416 1392123904 1827162624 2088185856 2436216832 2784247808 3654325248 4176371712 4872433664 5568495616 7308650496 8352743424 9744867328 14617300992 16705486848 19489734656 29234601984 38979469312 58469203968 116938407936