Search a number
-
+
53410120128 = 2632234031561
BaseRepresentation
bin110001101111011111…
…011100000111000000
312002212020120020000100
4301233133130013000
51333340442321003
640311500122400
73600360346641
oct615737340700
9162766506010
1053410120128
1120718690852
12a426b36400
1350623c9ca1
1428295b36c8
1515c8e4aba3
hexc6f7dc1c0

53410120128 has 84 divisors (see below), whose sum is σ = 159746612688. Its totient is φ = 17029309440.

The previous prime is 53410120121. The next prime is 53410120177. The reversal of 53410120128 is 82102101435.

53410120128 is a `hidden beast` number, since 5 + 3 + 410 + 120 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53410120121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2002533 + ... + 2029028.

Almost surely, 253410120128 is an apocalyptic number.

It is an amenable number.

53410120128 is an abundant number, since it is smaller than the sum of its proper divisors (106336492560).

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

53410120128 is a wasteful number, since it uses less digits than its factorization.

53410120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031602 (or 4031589 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 53410120128 in words is "fifty-three billion, four hundred ten million, one hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 4031561 8063122 12094683 16126244 24189366 32252488 36284049 48378732 64504976 72568098 92725903 96757464 129009952 145136196 185451806 193514928 258019904 278177709 290272392 370903612 387029856 556355418 580544784 741807224 774059712 834533127 1112710836 1161089568 1483614448 1669066254 2225421672 2322179136 2967228896 3338132508 4450843344 5934457792 6676265016 8901686688 13352530032 17803373376 26705060064 53410120128