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68245705152 = 2632306138707
BaseRepresentation
bin111111100011110000…
…101101000111000000
320112011011100000202100
4333203300231013000
52104231400031102
651203542150400
74634122631262
oct774360550700
9215134300670
1068245705152
1126a40a15419
1211287422400
136587b6ab71
143435a39b32
151b965d4a1c
hexfe3c2d1c0

68245705152 has 84 divisors (see below), whose sum is σ = 195682952296. Its totient is φ = 22740549120.

The previous prime is 68245705141. The next prime is 68245705159. The reversal of 68245705152 is 25150754286.

68245705152 is a `hidden beast` number, since 6 + 8 + 24 + 570 + 5 + 1 + 52 = 666.

68245705152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 68245705098 and 68245705107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68245705159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1743783 + ... + 1782489.

Almost surely, 268245705152 is an apocalyptic number.

It is an amenable number.

68245705152 is an abundant number, since it is smaller than the sum of its proper divisors (127437247144).

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

68245705152 is a wasteful number, since it uses less digits than its factorization.

68245705152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41786 (or 41773 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 68245705152 in words is "sixty-eight billion, two hundred forty-five million, seven hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3061 6122 9183 12244 18366 24488 27549 36732 38707 48976 55098 73464 77414 97952 110196 116121 146928 154828 195904 220392 232242 293856 309656 348363 440784 464484 587712 619312 696726 881568 928968 1238624 1393452 1763136 1857936 2477248 2786904 3715872 5573808 7431744 11147616 22295232 118482127 236964254 355446381 473928508 710892762 947857016 1066339143 1421785524 1895714032 2132678286 2843571048 3791428064 4265356572 5687142096 7582856128 8530713144 11374284192 17061426288 22748568384 34122852576 68245705152