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552105686352 = 243112631150649
BaseRepresentation
bin10000000100011000001…
…00000011010101010000
31221210002012020211111210
420002030010003111100
533021203023430402
61101344524540120
754613456621353
oct10021404032520
91853065224453
10552105686352
111a31682a2900
128b0030b1640
13400a921994c
141ca1748029a
15e5652b506c
hex808c103550

552105686352 has 120 divisors (see below), whose sum is σ = 1570216513600. Its totient is φ = 167038502400.

The previous prime is 552105686339. The next prime is 552105686371. The reversal of 552105686352 is 253686501255.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3589524 + ... + 3740172.

Almost surely, 2552105686352 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 552105686352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785108256800).

552105686352 is an abundant number, since it is smaller than the sum of its proper divisors (1018110827248).

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

552105686352 is a wasteful number, since it uses less digits than its factorization.

552105686352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151313 (or 151296 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 552105686352 in words is "five hundred fifty-two billion, one hundred five million, six hundred eighty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 631 726 968 1262 1452 1893 1936 2524 2904 3786 5048 5808 6941 7572 10096 13882 15144 20823 27764 30288 41646 55528 76351 83292 111056 150649 152702 166584 229053 301298 305404 333168 451947 458106 602596 610808 903894 916212 1205192 1221616 1657139 1807788 1832424 2410384 3314278 3615576 3664848 4971417 6628556 7231152 9942834 13257112 18228529 19885668 26514224 36457058 39771336 54685587 72914116 79542672 95059519 109371174 145828232 190119038 218742348 285178557 291656464 380238076 437484696 570357114 760476152 874969392 1045654709 1140714228 1520952304 2091309418 2281428456 3136964127 4182618836 4562856912 6273928254 8365237672 11502201799 12547856508 16730475344 23004403598 25095713016 34506605397 46008807196 50191426032 69013210794 92017614392 138026421588 184035228784 276052843176 552105686352