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550885937664 = 2932944327917
BaseRepresentation
bin10000000010000110101…
…11000101001000000000
31221122221012002011212110
420001003113011020000
533011203300001124
61101023513255320
754541316131626
oct10010327051000
91848835064773
10550885937664
111a26a1828637
128a922704540
133cc435cc56a
141c93d48d516
15e4e3178029
hex80435c5200

550885937664 has 160 divisors (see below), whose sum is σ = 1521682873920. Its totient is φ = 176890068992.

The previous prime is 550885937663. The next prime is 550885937681. The reversal of 550885937664 is 466739588055.

It is a junction number, because it is equal to n+sod(n) for n = 550885937595 and 550885937604.

It is not an unprimeable number, because it can be changed into a prime (550885937663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19719034 + ... + 19746950.

It is an arithmetic number, because the mean of its divisors is an integer number (9510517962).

Almost surely, 2550885937664 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 550885937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760841436960).

550885937664 is an abundant number, since it is smaller than the sum of its proper divisors (970796936256).

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

550885937664 is a wasteful number, since it uses less digits than its factorization.

550885937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28410 (or 28394 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 66.

The spelling of 550885937664 in words is "five hundred fifty billion, eight hundred eighty-five million, nine hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 443 464 512 696 768 886 928 1329 1392 1536 1772 1856 2658 2784 3544 3712 5316 5568 7088 7424 10632 11136 12847 14176 14848 21264 22272 25694 27917 28352 38541 42528 44544 51388 55834 56704 77082 83751 85056 102776 111668 113408 154164 167502 170112 205552 223336 226816 308328 335004 340224 411104 446672 616656 670008 680448 809593 822208 893344 1233312 1340016 1619186 1644416 1786688 2428779 2466624 2680032 3238372 3288832 3573376 4857558 4933248 5360064 6476744 6577664 7146752 9715116 9866496 10720128 12367231 12953488 14293504 19430232 19732992 21440256 24734462 25906976 37101693 38860464 42880512 49468924 51813952 74203386 77720928 98937848 103627904 148406772 155441856 197875696 207255808 296813544 310883712 358649699 395751392 414511616 593627088 621767424 717299398 791502784 1075949097 1187254176 1243534848 1434598796 1583005568 2151898194 2374508352 2869197592 3166011136 4303796388 4749016704 5738395184 6332022272 8607592776 9498033408 11476790368 17215185552 18996066816 22953580736 34430371104 45907161472 68860742208 91814322944 137721484416 183628645888 275442968832 550885937664