Search a number
-
+
55347454080 = 273259608933
BaseRepresentation
bin110011100010111101…
…110010000010000000
312021212020222222120200
4303202331302002000
51401322422012310
641232024005200
73666363411612
oct634275620200
9167766888520
1055347454080
1121522216496
12a887900800
1352b08a2a39
1429709d8db2
15168e0809c0
hexce2f72080

55347454080 has 96 divisors (see below), whose sum is σ = 191121697260. Its totient is φ = 14759319552.

The previous prime is 55347454073. The next prime is 55347454087. The reversal of 55347454080 is 8045474355.

55347454080 is a `hidden beast` number, since 5 + 5 + 34 + 74 + 540 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55347454073) and next prime (55347454087).

It can be written as a sum of positive squares in 2 ways, for example, as 47457751104 + 7889702976 = 217848^2 + 88824^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (55347454087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4798707 + ... + 4810226.

Almost surely, 255347454080 is an apocalyptic number.

It is an amenable number.

55347454080 is an abundant number, since it is smaller than the sum of its proper divisors (135774243180).

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

55347454080 is a wasteful number, since it uses less digits than its factorization.

55347454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608958 (or 9608943 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 55347454080 in words is "fifty-five billion, three hundred forty-seven million, four hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9608933 19217866 28826799 38435732 48044665 57653598 76871464 86480397 96089330 115307196 144133995 153742928 172960794 192178660 230614392 288267990 307485856 345921588 384357320 432401985 461228784 576535980 614971712 691843176 768714640 864803970 922457568 1153071960 1229943424 1383686352 1537429280 1729607940 1844915136 2306143920 2767372704 3074858560 3459215880 3689830272 4612287840 5534745408 6149717120 6918431760 9224575680 11069490816 13836863520 18449151360 27673727040 55347454080