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641557334240 = 255172161109147
BaseRepresentation
bin10010101010111111100…
…11000000100011100000
32021022222020022100221122
421111133303000203200
541002402134143430
61210421040111412
764231250235614
oct11253763004340
92238866270848
10641557334240
112280a0431929
12a4408305568
1348663557804
14230a15db344
1511a4d426ee5
hex955fcc08e0

641557334240 has 96 divisors (see below), whose sum is σ = 1605594148704. Its totient is φ = 241413488640.

The previous prime is 641557334221. The next prime is 641557334263. The reversal of 641557334240 is 42433755146.

It is a junction number, because it is equal to n+sod(n) for n = 641557334191 and 641557334200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5823347 + ... + 5932493.

It is an arithmetic number, because the mean of its divisors is an integer number (16724939049).

Almost surely, 2641557334240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641557334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802797074352).

641557334240 is an abundant number, since it is smaller than the sum of its proper divisors (964036814464).

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

641557334240 is a wasteful number, since it uses less digits than its factorization.

641557334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111340 (or 111332 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 641557334240 in words is "six hundred forty-one billion, five hundred fifty-seven million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2161 2720 4322 8644 10805 17288 21610 34576 36737 43220 69152 73474 86440 109147 146948 172880 183685 218294 293896 345760 367370 436588 545735 587792 734740 873176 1091470 1175584 1469480 1746352 1855499 2182940 2938960 3492704 3710998 4365880 5877920 7421996 8731760 9277495 14843992 17463520 18554990 29687984 37109980 59375968 74219960 148439920 235866667 296879840 471733334 943466668 1179333335 1886933336 2358666670 3773866672 4009733339 4717333340 7547733344 8019466678 9434666680 16038933356 18869333360 20048666695 32077866712 37738666720 40097333390 64155733424 80194666780 128311466848 160389333560 320778667120 641557334240