Search a number
-
+
55506010055352 = 23371118727442249
BaseRepresentation
bin11001001111011100000000…
…00000110010001010111000
321021112022201021110112211020
430213232000000302022320
524233402302033232402
6314015035313302440
714456114446611123
oct1447560000621270
9237468637415736
1055506010055352
111675aa6a70163a
12628552a564a20
1324c826ab1187c
14d9c71047d3ba
15663c8a9368bc
hex327b800322b8

55506010055352 has 64 divisors (see below), whose sum is σ = 140838017760000. Its totient is φ = 18226043431680.

The previous prime is 55506010055351. The next prime is 55506010055381. The reversal of 55506010055352 is 25355001060555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55506010055351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11698477 + ... + 15743772.

It is an arithmetic number, because the mean of its divisors is an integer number (2200594027500).

Almost surely, 255506010055352 is an apocalyptic number.

It is an amenable number.

55506010055352 is an abundant number, since it is smaller than the sum of its proper divisors (85332007704648).

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

55506010055352 is a wasteful number, since it uses less digits than its factorization.

55506010055352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27443516 (or 27443512 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 42.

The spelling of 55506010055352 in words is "fifty-five trillion, five hundred six billion, ten million, fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1187 1704 2374 3561 4748 7122 9496 14244 28488 84277 168554 252831 337108 505662 674216 1011324 2022648 27442249 54884498 82326747 109768996 164653494 219537992 329306988 658613976 1948399679 3896799358 5845199037 7793598716 11690398074 15587197432 23380796148 32573949563 46761592296 65147899126 97721848689 130295798252 195443697378 260591596504 390887394756 781774789512 2312750418973 4625500837946 6938251256919 9251001675892 13876502513838 18502003351784 27753005027676 55506010055352