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514476642304 = 2121936718013
BaseRepresentation
bin1110111110010010011…
…00101001000000000000
31211011221202120100010201
413133021030221000000
531412122010023204
61032203003534544
752112132206522
oct7371114510000
91734852510121
10514476642304
1118920871a099
128386122a454
1339690424201
141ac87b31a12
15d5b1a189a4
hex77c9329000

514476642304 has 104 divisors (see below), whose sum is σ = 1085987680640. Its totient is φ = 243021938688.

The previous prime is 514476642293. The next prime is 514476642331. The reversal of 514476642304 is 403246674415.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28552402 + ... + 28570414.

Almost surely, 2514476642304 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 514476642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542993840320).

514476642304 is an abundant number, since it is smaller than the sum of its proper divisors (571511038336).

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

514476642304 is a wasteful number, since it uses less digits than its factorization.

514476642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18423 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 514476642304 in words is "five hundred fourteen billion, four hundred seventy-six million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 367 512 608 734 1024 1216 1468 2048 2432 2936 4096 4864 5872 6973 9728 11744 13946 18013 19456 23488 27892 36026 38912 46976 55784 72052 77824 93952 111568 144104 187904 223136 288208 342247 375808 446272 576416 684494 751616 892544 1152832 1368988 1503232 1785088 2305664 2737976 3570176 4611328 5475952 6610771 7140352 9222656 10951904 13221542 14280704 18445312 21903808 26443084 28561408 36890624 43807616 52886168 73781248 87615232 105772336 125604649 175230464 211544672 251209298 350460928 423089344 502418596 700921856 846178688 1004837192 1401843712 1692357376 2009674384 3384714752 4019348768 6769429504 8038697536 13538859008 16077395072 27077718016 32154790144 64309580288 128619160576 257238321152 514476642304