Search a number
-
+
644446742016 = 2937115448853
BaseRepresentation
bin10010110000011000000…
…01001110011000000000
32021121102121020111021110
421120030001032120000
541024311331221031
61212015454123320
764362663632160
oct11301401163000
92247377214243
10644446742016
11229343426740
12a4a93ab0540
1348a0405a25c
14232972565a0
1511b6be22c46
hex960c04e600

644446742016 has 160 divisors (see below), whose sum is σ = 2140484214528. Its totient is φ = 167388733440.

The previous prime is 644446741997. The next prime is 644446742047. The reversal of 644446742016 is 610247644446.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2606155 + ... + 2842698.

Almost surely, 2644446742016 is an apocalyptic number.

644446742016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

644446742016 is an abundant number, since it is smaller than the sum of its proper divisors (1496037472512).

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

644446742016 is a wasteful number, since it uses less digits than its factorization.

644446742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448892 (or 5448876 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 644446742016 in words is "six hundred forty-four billion, four hundred forty-six million, seven hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1056 1232 1344 1408 1536 1792 1848 2112 2464 2688 2816 3584 3696 4224 4928 5376 5632 7392 8448 9856 10752 14784 16896 19712 29568 39424 59136 118272 5448853 10897706 16346559 21795412 32693118 38141971 43590824 59937383 65386236 76283942 87181648 114425913 119874766 130772472 152567884 174363296 179812149 228851826 239749532 261544944 305135768 348726592 359624298 419561681 457703652 479499064 523089888 610271536 697453184 719248596 839123362 915407304 958998128 1046179776 1220543072 1258685043 1394906368 1438497192 1678246724 1830814608 1917996256 2092359552 2441086144 2517370086 2789812736 2876994384 3356493448 3661629216 3835992512 4184719104 4882172288 5034740172 5753988768 6712986896 7323258432 7671985024 8369438208 9764344576 10069480344 11507977536 13425973792 14646516864 15343970048 19528689152 20138960688 23015955072 26851947584 29293033728 30687940096 40277921376 46031910144 53703895168 58586067456 80555842752 92063820288 107407790336 161111685504 214815580672 322223371008 644446742016