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640705507046 = 2111771106922571
BaseRepresentation
bin10010101001011010000…
…01100010111011100110
32021020202212110001201022
421110231001202323212
540444131102211141
61210200330331142
764201164644453
oct11245501427346
92236685401638
10640705507046
112277a3612510
12a420ab89ab2
1348558c29957
142302042082a
15119ed763b4b
hex952d062ee6

640705507046 has 64 divisors (see below), whose sum is σ = 1126837578240. Its totient is φ = 269973312000.

The previous prime is 640705507033. The next prime is 640705507049.

640705507046 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6407055070462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 640705506988 and 640705507006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640705507049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28374941 + ... + 28397511.

It is an arithmetic number, because the mean of its divisors is an integer number (17606837160).

Almost surely, 2640705507046 is an apocalyptic number.

640705507046 is a deficient number, since it is larger than the sum of its proper divisors (486132071194).

640705507046 is a wasteful number, since it uses less digits than its factorization.

640705507046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23741.

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 640705507046 in words is "six hundred forty billion, seven hundred five million, five hundred seven thousand, forty-six".

Divisors: 1 2 11 17 22 34 71 142 187 374 781 1069 1207 1562 2138 2414 11759 13277 18173 22571 23518 26554 36346 45142 75899 151798 199903 248281 383707 399806 496562 767414 834889 1290283 1602541 1669778 2580566 3205082 4220777 8441554 14193113 17627951 24128399 27243197 28386226 35255902 48256798 54486394 265412389 299675167 410182783 530824778 599350334 820365566 1713116329 3426232658 4512010613 9024021226 18844279619 29122977593 37688559238 58245955186 320352753523 640705507046