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55360470960 = 24325359214177
BaseRepresentation
bin110011100011101111…
…011011111110110000
312021220011111022101100
4303203233123332300
51401334240032320
641233211004400
73666612144654
oct634357337660
9167804438340
1055360470960
11215295a7243
12a890139700
1352b34ac832
142972626a64
1516902a2790
hexce3bdbfb0

55360470960 has 120 divisors (see below), whose sum is σ = 186437665440. Its totient is φ = 14721601536.

The previous prime is 55360470863. The next prime is 55360470983. The reversal of 55360470960 is 6907406355.

55360470960 is a `hidden beast` number, since 553 + 6 + 0 + 4 + 7 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151392 + ... + 365568.

It is an arithmetic number, because the mean of its divisors is an integer number (1553647212).

Almost surely, 255360470960 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 55360470960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93218832720).

55360470960 is an abundant number, since it is smaller than the sum of its proper divisors (131077194480).

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

55360470960 is a wasteful number, since it uses less digits than its factorization.

55360470960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214555 (or 214546 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55360470960 in words is "fifty-five billion, three hundred sixty million, four hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 359 360 718 720 1077 1436 1795 2154 2872 3231 3590 4308 5385 5744 6462 7180 8616 10770 12924 14360 16155 17232 21540 25848 28720 32310 43080 51696 64620 86160 129240 214177 258480 428354 642531 856708 1070885 1285062 1713416 1927593 2141770 2570124 3212655 3426832 3855186 4283540 5140248 6425310 7710372 8567080 9637965 10280496 12850620 15420744 17134160 19275930 25701240 30841488 38551860 51402480 76889543 77103720 153779086 154207440 230668629 307558172 384447715 461337258 615116344 692005887 768895430 922674516 1153343145 1230232688 1384011774 1537790860 1845349032 2306686290 2768023548 3075581720 3460029435 3690698064 4613372580 5536047096 6151163440 6920058870 9226745160 11072094192 13840117740 18453490320 27680235480 55360470960