Search a number
-
+
55618158240 = 25325296913009
BaseRepresentation
bin110011110011000110…
…011011111010100000
312022120010101011212200
4303303012123322200
51402401222030430
641314534053200
74006161354561
oct636306337240
9168503334780
1055618158240
1121651000537
12a9424aa200
1353249b4208
142998944168
1516a7c04460
hexcf319bea0

55618158240 has 144 divisors (see below), whose sum is σ = 189875485800. Its totient is φ = 14825373696.

The previous prime is 55618158221. The next prime is 55618158259. The reversal of 55618158240 is 4285181655.

55618158240 is a `hidden beast` number, since 5 + 5 + 61 + 8 + 1 + 582 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55618158221) and next prime (55618158259).

It can be written as a sum of positive squares in 4 ways, for example, as 17325930384 + 38292227856 = 131628^2 + 195684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4268856 + ... + 4281864.

Almost surely, 255618158240 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 55618158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94937742900).

55618158240 is an abundant number, since it is smaller than the sum of its proper divisors (134257327560).

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

55618158240 is a wasteful number, since it uses less digits than its factorization.

55618158240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15999 (or 15988 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 55618158240 in words is "fifty-five billion, six hundred eighteen million, one hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2969 5938 8907 11876 13009 14845 17814 23752 26018 26721 29690 35628 39027 44535 47504 52036 53442 59380 65045 71256 78054 89070 95008 104072 106884 117081 118760 130090 133605 142512 156108 178140 195135 208144 213768 234162 237520 260180 267210 285024 312216 356280 390270 416288 427536 468324 475040 520360 534420 585405 624432 712560 780540 855072 936648 1040720 1068840 1170810 1248864 1425120 1561080 1873296 2081440 2137680 2341620 3122160 3746592 4275360 4683240 6244320 9366480 18732960 38623721 77247442 115871163 154494884 193118605 231742326 308989768 347613489 386237210 463484652 579355815 617979536 695226978 772474420 926969304 1158711630 1235959072 1390453956 1544948840 1738067445 1853938608 2317423260 2780907912 3089897680 3476134890 3707877216 4634846520 5561815824 6179795360 6952269780 9269693040 11123631648 13904539560 18539386080 27809079120 55618158240