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550509999984 = 243271667327619
BaseRepresentation
bin10000000001011001111…
…00111111011101110000
31221121221222200120022200
420000230330333131300
533004421024444414
61100522323503200
754526102535460
oct10005474773560
91847858616280
10550509999984
111a25195a803a
128a838827b00
133cbb3764429
141c90558dba0
15e4c0169109
hex802cf3f770

550509999984 has 120 divisors (see below), whose sum is σ = 1761819795840. Its totient is φ = 157193737344.

The previous prime is 550509999973. The next prime is 550509999989. The reversal of 550509999984 is 489999905055.

550509999984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5505099999842 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550509999989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1516527 + ... + 1844145.

It is an arithmetic number, because the mean of its divisors is an integer number (14681831632).

Almost surely, 2550509999984 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 550509999984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880909897920).

550509999984 is an abundant number, since it is smaller than the sum of its proper divisors (1211309795856).

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

550509999984 is a wasteful number, since it uses less digits than its factorization.

550509999984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329307 (or 329298 counting only the distinct ones).

The product of its (nonzero) digits is 236196000, while the sum is 72.

The spelling of 550509999984 in words is "five hundred fifty billion, five hundred nine million, nine hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1667 3334 5001 6668 10002 11669 13336 15003 20004 23338 26672 30006 35007 40008 46676 60012 70014 80016 93352 105021 120024 140028 186704 210042 240048 280056 327619 420084 560112 655238 840168 982857 1310476 1680336 1965714 2293333 2620952 2948571 3931428 4586666 5241904 5897142 6879999 7862856 9173332 11794284 13759998 15725712 18346664 20639997 23588568 27519996 36693328 41279994 47177136 55039992 82559988 110079984 165119976 330239952 546140873 1092281746 1638422619 2184563492 3276845238 3822986111 4369126984 4915267857 6553690476 7645972222 8738253968 9830535714 11468958333 13107380952 15291944444 19661071428 22937916666 26214761904 30583888888 34406874999 39322142856 45875833332 61167777776 68813749998 78644285712 91751666664 137627499996 183503333328 275254999992 550509999984