Search a number
-
+
552416553504 = 2533738758507
BaseRepresentation
bin10000000100111101001…
…01111010101000100000
31221210212212012112002000
420002132211322220200
533022322114203004
61101435431524000
754624253141524
oct10023645725040
91853785175060
10552416553504
111a3307819a02
128b08b229600
1340128750bca
141ca46881d84
15e58271dc39
hex809e97aa20

552416553504 has 96 divisors (see below), whose sum is σ = 1633286571840. Its totient is φ = 181616380416.

The previous prime is 552416553487. The next prime is 552416553509. The reversal of 552416553504 is 405355614255.

552416553504 is a `hidden beast` number, since 5 + 5 + 2 + 41 + 6 + 553 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 552416553504.

It is not an unprimeable number, because it can be changed into a prime (552416553509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4316182 + ... + 4442325.

It is an arithmetic number, because the mean of its divisors is an integer number (17013401790).

Almost surely, 2552416553504 is an apocalyptic number.

552416553504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

552416553504 is an abundant number, since it is smaller than the sum of its proper divisors (1080870018336).

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

552416553504 is a wasteful number, since it uses less digits than its factorization.

552416553504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758599 (or 8758585 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 552416553504 in words is "five hundred fifty-two billion, four hundred sixteen million, five hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1314 1752 1971 2336 2628 3504 3942 5256 7008 7884 10512 15768 21024 31536 63072 8758507 17517014 26275521 35034028 52551042 70068056 78826563 105102084 140136112 157653126 210204168 236479689 280272224 315306252 420408336 472959378 630612504 639371011 840816672 945918756 1261225008 1278742022 1891837512 1918113033 2522450016 2557484044 3783675024 3836226066 5114968088 5754339099 7567350048 7672452132 10229936176 11508678198 15344904264 17263017297 20459872352 23017356396 30689808528 34526034594 46034712792 61379617056 69052069188 92069425584 138104138376 184138851168 276208276752 552416553504