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643430536343040 = 2935216071387743
BaseRepresentation
bin1001001001001100100101100…
…0100011100110111000000000
310010101012100200101011210011210
42102103021120203212320000
51133313431214300434130
610200243524024210120
7252346215340162215
oct22223113043467000
93111170611153153
10643430536343040
111770203a3625626
12601b9194909940
1321804315775944
14b4c62c0183b0c
154e5c188c975b0
hex24932588e6e00

643430536343040 has 160 divisors (see below), whose sum is σ = 2056981820737536. Its totient is φ = 171580239749120.

The previous prime is 643430536343039. The next prime is 643430536343113. The reversal of 643430536343040 is 40343635034346.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1659231409 + ... + 1659619151.

Almost surely, 2643430536343040 is an apocalyptic number.

643430536343040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

643430536343040 is an abundant number, since it is smaller than the sum of its proper divisors (1413551284394496).

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

643430536343040 is a wasteful number, since it uses less digits than its factorization.

643430536343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603840 (or 603824 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 48.

The spelling of 643430536343040 in words is "six hundred forty-three trillion, four hundred thirty billion, five hundred thirty-six million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 216071 387743 432142 648213 775486 864284 1080355 1163229 1296426 1550972 1728568 1938715 2160710 2326458 2592852 3101944 3241065 3457136 3877430 4321420 4652916 5185704 5816145 6203888 6482130 6914272 7754860 8642840 9305832 10371408 11632290 12407776 12964260 13828544 15509720 17285680 18611664 20742816 23264580 24815552 25928520 27657088 31019440 34571360 37223328 41485632 46529160 49631104 51857040 55314176 62038880 69142720 74446656 82971264 93058320 99262208 103714080 110628352 124077760 138285440 148893312 165942528 186116640 198524416 207428160 248155520 276570880 297786624 331885056 372233280 414856320 496311040 553141760 595573248 744466560 829712640 992622080 1488933120 1659425280 2977866240 83780017753 167560035506 251340053259 335120071012 418900088765 502680106518 670240142024 837800177530 1005360213036 1256700266295 1340480284048 1675600355060 2010720426072 2513400532590 2680960568096 3351200710120 4021440852144 5026801065180 5361921136192 6702401420240 8042881704288 10053602130360 10723842272384 13404802840480 16085763408576 20107204260720 21447684544768 26809605680960 32171526817152 40214408521440 42895369089536 53619211361920 64343053634304 80428817042880 107238422723840 128686107268608 160857634085760 214476845447680 321715268171520 643430536343040