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55432252440 = 23325971587407
BaseRepresentation
bin110011101000000001…
…010000110000011000
312022002011120012001200
4303220001100300120
51402011124034230
641244253314200
74001443241265
oct635001206030
9168064505050
1055432252440
1121566074784
12a8b0195960
1352c5323196
14297bd9026c
151696731160
hexce8050c18

55432252440 has 96 divisors (see below), whose sum is σ = 182012201280. Its totient is φ = 14629533696.

The previous prime is 55432252439. The next prime is 55432252451. The reversal of 55432252440 is 4425223455.

55432252440 is a `hidden beast` number, since 5 + 543 + 22 + 52 + 4 + 40 = 666.

It is a super-2 number, since 2×554322524402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55432252395 and 55432252404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758784 + ... + 828623.

It is an arithmetic number, because the mean of its divisors is an integer number (1895960430).

Almost surely, 255432252440 is an apocalyptic number.

It is an amenable number.

55432252440 is an abundant number, since it is smaller than the sum of its proper divisors (126579948840).

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

55432252440 is a wasteful number, since it uses less digits than its factorization.

55432252440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587521 (or 1587514 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 55432252440 its reverse (4425223455), we get a palindrome (59857475895).

The spelling of 55432252440 in words is "fifty-five billion, four hundred thirty-two million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3492 3880 4365 5820 6984 8730 11640 17460 34920 1587407 3174814 4762221 6349628 7937035 9524442 12699256 14286663 15874070 19048884 23811105 28573326 31748140 38097768 47622210 57146652 63496280 71433315 95244420 114293304 142866630 153978479 190488840 285733260 307956958 461935437 571466520 615913916 769892395 923870874 1231827832 1385806311 1539784790 1847741748 2309677185 2771612622 3079569580 3695483496 4619354370 5543225244 6159139160 6929031555 9238708740 11086450488 13858063110 18477417480 27716126220 55432252440