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68740032384 = 2732211282797
BaseRepresentation
bin100000000000100111…
…0011010011110000000
320120102121111110020100
41000001032122132000
52111234422014014
651325001242400
74652304430452
oct1000116323600
9216377443210
1068740032384
1127174a57821
12113a4a93400
1366363b7b9a
1434815562d2
151bc4bcc009
hex100139a780

68740032384 has 96 divisors (see below), whose sum is σ = 198744778440. Its totient is φ = 22804669440.

The previous prime is 68740032377. The next prime is 68740032401. The reversal of 68740032384 is 48323004786.

68740032384 is a `hidden beast` number, since 6 + 8 + 7 + 400 + 3 + 238 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101674 + ... + 384470.

Almost surely, 268740032384 is an apocalyptic number.

68740032384 is a gapful number since it is divisible by the number (64) 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 68740032384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99372389220).

68740032384 is an abundant number, since it is smaller than the sum of its proper divisors (130004746056).

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

68740032384 is a wasteful number, since it uses less digits than its factorization.

68740032384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283028 (or 283013 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 68740032384 in words is "sixty-eight billion, seven hundred forty million, thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 288 384 422 576 633 844 1152 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 13504 15192 20256 27008 30384 40512 60768 81024 121536 243072 282797 565594 848391 1131188 1696782 2262376 2545173 3393564 4524752 5090346 6787128 9049504 10180692 13574256 18099008 20361384 27148512 36198016 40722768 54297024 59670167 81445536 108594048 119340334 162891072 179010501 238680668 325782144 358021002 477361336 537031503 716042004 954722672 1074063006 1432084008 1909445344 2148126012 2864168016 3818890688 4296252024 5728336032 7637781376 8592504048 11456672064 17185008096 22913344128 34370016192 68740032384