Search a number
-
+
53495969040 = 24325181410497
BaseRepresentation
bin110001110100100110…
…111011010100010000
312010002020002210120200
4301310212323110100
51334024432002130
640324204135200
73602452143213
oct616446732420
9163066083520
1053495969040
1120762097368
12a44b837500
135077127667
142836b5d77a
1515d1757760
hexc749bb510

53495969040 has 120 divisors (see below), whose sum is σ = 180650317848. Its totient is φ = 14186741760.

The previous prime is 53495969017. The next prime is 53495969041. The reversal of 53495969040 is 4096959435.

53495969040 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 596 + 9 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2226329856 + 51269639184 = 47184^2 + 226428^2 .

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (53495969041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74929 + ... + 335568.

Almost surely, 253495969040 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 53495969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90325158924).

53495969040 is an abundant number, since it is smaller than the sum of its proper divisors (127154348808).

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

53495969040 is a wasteful number, since it uses less digits than its factorization.

53495969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410697 (or 410688 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 53495969040 in words is "fifty-three billion, four hundred ninety-five million, nine hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 181 240 360 362 543 720 724 905 1086 1448 1629 1810 2172 2715 2896 3258 3620 4344 5430 6516 7240 8145 8688 10860 13032 14480 16290 21720 26064 32580 43440 65160 130320 410497 820994 1231491 1641988 2052485 2462982 3283976 3694473 4104970 4925964 6157455 6567952 7388946 8209940 9851928 12314910 14777892 16419880 18472365 19703856 24629820 29555784 32839760 36944730 49259640 59111568 73889460 74299957 98519280 147778920 148599914 222899871 295557840 297199828 371499785 445799742 594399656 668699613 742999570 891599484 1114499355 1188799312 1337399226 1485999140 1783198968 2228998710 2674798452 2971998280 3343498065 3566397936 4457997420 5349596904 5943996560 6686996130 8915994840 10699193808 13373992260 17831989680 26747984520 53495969040