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640514450020023 = 331571932243349043
BaseRepresentation
bin1001000110100010110110010…
…0010001000101011010110111
310002222212120202022021222021000
42101220231210101011122313
51132423142043201120043
610150132135354054343
7251625433113333525
oct22150554421053267
93088776668258230
10640514450020023
111760a671a94a417
125ba07ba941a3b3
132165233ab36b57
14b4250c9b09315
154e0b3b63e52d3
hex2468b644456b7

640514450020023 has 64 divisors (see below), whose sum is σ = 960332966714880. Its totient is φ = 421902043490304.

The previous prime is 640514450020019. The next prime is 640514450020063. The reversal of 640514450020023 is 320020054415046.

640514450020023 is a `hidden beast` number, since 6 + 4 + 0 + 5 + 1 + 445 + 0 + 0 + 200 + 2 + 3 = 666.

It is not a de Polignac number, because 640514450020023 - 22 = 640514450020019 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 640514450020023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640514450020063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1834884340 + ... + 1835233382.

It is an arithmetic number, because the mean of its divisors is an integer number (15005202604920).

Almost surely, 2640514450020023 is an apocalyptic number.

640514450020023 is a deficient number, since it is larger than the sum of its proper divisors (319818516694857).

640514450020023 is a wasteful number, since it uses less digits than its factorization.

640514450020023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351645 (or 351639 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 640514450020023 in words is "six hundred forty trillion, five hundred fourteen billion, four hundred fifty million, twenty thousand, twenty-three".

Divisors: 1 3 9 27 157 193 471 579 1413 1737 2243 4239 5211 6729 20187 30301 60561 90903 272709 349043 352151 432899 818127 1047129 1056453 1298697 3141387 3169359 3896091 9424161 9508077 11688273 54799751 67365299 67965143 164399253 202095897 203895429 493197759 606287691 611686287 782903449 1479593277 1818863073 1835058861 2348710347 7046131041 10576351943 21138393123 31729055829 95187167487 122915841493 151100365657 285561502461 368747524479 453301096971 1106242573437 1359903290913 3318727720311 4079709872739 23722757408149 71168272224447 213504816673341 640514450020023