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645216632520240 = 243511972125141471
BaseRepresentation
bin1001001010110100100011010…
…0001011110011111000110000
310010121112002220111020120101110
42102231020310023303320300
51134032212130411121430
610204132232400033320
7252622235432165604
oct22255106413637060
93117462814216343
10645216632520240
11177649923327370
1260447380902840
132190388a2b4761
14b54891a153504
154e8d872d697b0
hex24ad2342f3e30

645216632520240 has 160 divisors (see below), whose sum is σ = 2182229888919552. Its totient is φ = 156400056576000.

The previous prime is 645216632520223. The next prime is 645216632520311. The reversal of 645216632520240 is 42025236612546.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 645216632520240.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13092705 + ... + 38234175.

Almost surely, 2645216632520240 is an apocalyptic number.

645216632520240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645216632520240 is an abundant number, since it is smaller than the sum of its proper divisors (1537013256399312).

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

645216632520240 is a wasteful number, since it uses less digits than its factorization.

645216632520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25151219 (or 25151213 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 645216632520240 in words is "six hundred forty-five trillion, two hundred sixteen billion, six hundred thirty-two million, five hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 9721 19442 29163 38884 48605 58326 77768 97210 106931 116652 145815 155536 194420 213862 233304 291630 320793 388840 427724 466608 534655 583260 641586 777680 855448 1069310 1166520 1283172 1603965 1710896 2138620 2333040 2566344 3207930 4277240 5132688 6415860 8554480 12831720 25141471 25663440 50282942 75424413 100565884 125707355 150848826 201131768 251414710 276556181 301697652 377122065 402263536 502829420 553112362 603395304 754244130 829668543 1005658840 1106224724 1206790608 1382780905 1508488260 1659337086 2011317680 2212449448 2765561810 3016976520 3318674172 4148342715 4424898896 5531123620 6033953040 6637348344 8296685430 11062247240 13274696688 16593370860 22124494480 33186741720 66373483440 244400239591 488800479182 733200718773 977600958364 1222001197955 1466401437546 1955201916728 2444002395910 2688402635501 2932802875092 3666003593865 3910403833456 4888004791820 5376805271002 5865605750184 7332007187730 8065207906503 9776009583640 10753610542004 11731211500368 13442013177505 14664014375460 16130415813006 19552019167280 21507221084008 26884026355010 29328028750920 32260831626012 40326039532515 43014442168016 53768052710020 58656057501840 64521663252024 80652079065030 107536105420040 129043326504048 161304158130060 215072210840080 322608316260120 645216632520240