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4864562640 = 243257965191
BaseRepresentation
bin1001000011111001…
…10101010111010000
3110120000112101102200
410201330311113100
534430312001030
62122412243200
7231356046240
oct44174652720
913500471380
104864562640
112076a11a03
12b39170500
135c6a8b242
143420c7b20
151d7101d60
hex121f355d0

4864562640 has 120 divisors (see below), whose sum is σ = 18670674048. Its totient is φ = 1111898880.

The previous prime is 4864562639. The next prime is 4864562683. The reversal of 4864562640 is 462654684.

4864562640 is a `hidden beast` number, since 4 + 86 + 4 + 562 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477556 + ... + 487635.

Almost surely, 24864562640 is an apocalyptic number.

4864562640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4864562640 is an abundant number, since it is smaller than the sum of its proper divisors (13806111408).

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

4864562640 is a wasteful number, since it uses less digits than its factorization.

4864562640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965217 (or 965208 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4864562640 is about 69746.4166821493. The cubic root of 4864562640 is about 1694.3947613306.

The spelling of 4864562640 in words is "four billion, eight hundred sixty-four million, five hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 965191 1930382 2895573 3860764 4825955 5791146 6756337 7721528 8686719 9651910 11582292 13512674 14477865 15443056 17373438 19303820 20269011 23164584 27025348 28955730 33781685 34746876 38607640 40538022 43433595 46329168 54050696 57911460 60807033 67563370 69493752 77215280 81076044 86867190 101345055 108101392 115822920 121614066 135126740 138987504 162152088 173734380 202690110 231645840 243228132 270253480 304035165 324304176 347468760 405380220 486456264 540506960 608070330 694937520 810760440 972912528 1216140660 1621520880 2432281320 4864562640