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640041532137 = 33713731777977
BaseRepresentation
bin10010101000001010111…
…00101011101011101001
32021012001121001122101000
421110011130223223221
540441301113012022
61210010411145213
764145553154530
oct11240534535351
92235047048330
10640041532137
11227492839317
12a4064745209
13484814c1aa7
1422d9a183317
15119b030a6ac
hex950572bae9

640041532137 has 64 divisors (see below), whose sum is σ = 1095035696640. Its totient is φ = 361918430208.

The previous prime is 640041532063. The next prime is 640041532183. The reversal of 640041532137 is 731235140046.

640041532137 is a `hidden beast` number, since 640 + 0 + 4 + 1 + 5 + 3 + 2 + 1 + 3 + 7 = 666.

640041532137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 640041532137 - 28 = 640041531881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (640041532187) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8169093 + ... + 8247069.

It is an arithmetic number, because the mean of its divisors is an integer number (17109932760).

Almost surely, 2640041532137 is an apocalyptic number.

It is an amenable number.

640041532137 is a deficient number, since it is larger than the sum of its proper divisors (454994164503).

640041532137 is a wasteful number, since it uses less digits than its factorization.

640041532137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78447 (or 78441 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 640041532137 in words is "six hundred forty billion, forty-one million, five hundred thirty-two thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 27 63 137 189 317 411 951 959 1233 2219 2853 2877 3699 6657 8559 8631 19971 25893 43429 59913 77977 130287 233931 304003 390861 545839 701793 912009 1172583 1637517 2105379 2736027 4912551 8208081 10682849 14737653 24718709 32048547 74156127 74779943 96145641 173030963 222468381 224339829 288436923 519092889 667405143 673019487 1557278667 2019058461 3386463133 4671836001 10159389399 23705241931 30478168197 71115725793 91434504591 213347177379 640041532137