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68652090432 = 263415798387
BaseRepresentation
bin111111111011111110…
…111100010001000000
320120012111000112120000
4333323332330101000
52111044413343212
651312140320000
74650156066102
oct777376742100
9216174015500
1068652090432
112712a351722
121137b543000
136621106923
1434739c3572
151bbc10a1dc
hexffbfbc440

68652090432 has 140 divisors (see below), whose sum is σ = 203659465680. Its totient is φ = 22866810624.

The previous prime is 68652090401. The next prime is 68652090439. The reversal of 68652090432 is 23409025686.

68652090432 is a `hidden beast` number, since 6 + 8 + 6 + 5 + 209 + 0 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (68652090439) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8181343 + ... + 8189729.

Almost surely, 268652090432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68652090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101829732840).

68652090432 is an abundant number, since it is smaller than the sum of its proper divisors (135007375248).

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

68652090432 is a wasteful number, since it uses less digits than its factorization.

68652090432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 68652090432 in words is "sixty-eight billion, six hundred fifty-two million, ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1579 1728 2592 3158 4737 5184 6316 8387 9474 12632 14211 16774 18948 25161 25264 28422 33548 37896 42633 50322 50528 56844 67096 75483 75792 85266 100644 101056 113688 127899 134192 150966 151584 170532 201288 226449 227376 255798 268384 301932 303168 341064 402576 452898 454752 511596 536768 603864 679347 682128 805152 905796 909504 1023192 1207728 1358694 1364256 1610304 1811592 2046384 2415456 2717388 2728512 3623184 4092768 4830912 5434776 7246368 8185536 10869552 13243073 14492736 21739104 26486146 39729219 43478208 52972292 79458438 105944584 119187657 158916876 211889168 238375314 317833752 357562971 423778336 476750628 635667504 715125942 847556672 953501256 1072688913 1271335008 1430251884 1907002512 2145377826 2542670016 2860503768 3814005024 4290755652 5721007536 7628010048 8581511304 11442015072 17163022608 22884030144 34326045216 68652090432