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634890321920 = 215523168481
BaseRepresentation
bin10010011110100100110…
…10011000000000000000
32020200202121011001101102
421033102122120000000
540400223410300140
61203355314553532
763604113460121
oct11172232300000
92220677131342
10634890321920
1122528a042898
12a30675988a8
1347b4022c4ca
1422a2bda0048
15117ace85e15
hex93d2698000

634890321920 has 128 divisors (see below), whose sum is σ = 1589971373280. Its totient is φ = 242913116160.

The previous prime is 634890321899. The next prime is 634890322007. The reversal of 634890321920 is 29123098436.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3684080 + ... + 3852560.

Almost surely, 2634890321920 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 634890321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794985686640).

634890321920 is an abundant number, since it is smaller than the sum of its proper divisors (955081051360).

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

634890321920 is an equidigital number, since it uses as much as digits as its factorization.

634890321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168539 (or 168511 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The spelling of 634890321920 in words is "six hundred thirty-four billion, eight hundred ninety million, three hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1024 1280 1472 1840 2048 2560 2944 3680 4096 5120 5888 7360 8192 10240 11776 14720 16384 20480 23552 29440 32768 40960 47104 58880 81920 94208 117760 163840 168481 188416 235520 336962 376832 471040 673924 753664 842405 942080 1347848 1684810 1884160 2695696 3369620 3768320 3875063 5391392 6739240 7750126 10782784 13478480 15500252 19375315 21565568 26956960 31000504 38750630 43131136 53913920 62001008 77501260 86262272 107827840 124002016 155002520 172524544 215655680 248004032 310005040 345049088 431311360 496008064 620010080 690098176 862622720 992016128 1240020160 1380196352 1725245440 1984032256 2480040320 2760392704 3450490880 3968064512 4960080640 5520785408 6900981760 7936129024 9920161280 13801963520 15872258048 19840322560 27603927040 31744516096 39680645120 63489032192 79361290240 126978064384 158722580480 317445160960 634890321920