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55429452144 = 2434113888149
BaseRepresentation
bin110011100111110110…
…100101000101110000
312022001222021220210000
4303213312211011300
51402004414432034
641244113310000
74001410366203
oct634766450560
9168058256700
1055429452144
1121564531890
12a8ab265300
1352c48826c1
14297b86193a
15169637b599
hexce7da5170

55429452144 has 100 divisors (see below), whose sum is σ = 175013407800. Its totient is φ = 16796799360.

The previous prime is 55429452131. The next prime is 55429452181. The reversal of 55429452144 is 44125492455.

55429452144 is a `hidden beast` number, since 5 + 5 + 429 + 4 + 5 + 214 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55429452144.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1929819 + ... + 1958330.

It is an arithmetic number, because the mean of its divisors is an integer number (1750134078).

Almost surely, 255429452144 is an apocalyptic number.

55429452144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55429452144 is an abundant number, since it is smaller than the sum of its proper divisors (119583955656).

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

55429452144 is a wasteful number, since it uses less digits than its factorization.

55429452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888180 (or 3888165 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 55429452144 in words is "fifty-five billion, four hundred twenty-nine million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 3888149 7776298 11664447 15552596 23328894 31105192 34993341 42769639 46657788 62210384 69986682 85539278 93315576 104980023 128308917 139973364 171078556 186631152 209960046 256617834 279946728 314940069 342157112 384926751 419920092 513235668 559893456 629880138 684314224 769853502 839840184 1026471336 1154780253 1259760276 1539707004 1679680368 2052942672 2309560506 2519520552 3079414008 3464340759 4619121012 5039041104 6158828016 6928681518 9238242024 13857363036 18476484048 27714726072 55429452144