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55340987220 = 22325307449929
BaseRepresentation
bin110011100010100101…
…000111001101010100
312021211210211102201100
4303202211013031110
51401314243042340
641231233230100
73666254426031
oct634245071524
9167753742640
1055340987220
11215195a9882
12a885702330
1352ac44a3ac
14296dbd4388
15168d704830
hexce2947354

55340987220 has 36 divisors (see below), whose sum is σ = 167867661780. Its totient is φ = 14757596544.

The previous prime is 55340987197. The next prime is 55340987243. The reversal of 55340987220 is 2278904355.

55340987220 is a `hidden beast` number, since 5 + 5 + 340 + 9 + 87 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (55340987197) and next prime (55340987243).

It can be written as a sum of positive squares in 2 ways, for example, as 5659251984 + 49681735236 = 75228^2 + 222894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 153724785 + ... + 153725144.

It is an arithmetic number, because the mean of its divisors is an integer number (4662990605).

Almost surely, 255340987220 is an apocalyptic number.

It is an amenable number.

55340987220 is an abundant number, since it is smaller than the sum of its proper divisors (112526674560).

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

55340987220 is a wasteful number, since it uses less digits than its factorization.

55340987220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307449944 (or 307449939 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 55340987220 in words is "fifty-five billion, three hundred forty million, nine hundred eighty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307449929 614899858 922349787 1229799716 1537249645 1844699574 2767049361 3074499290 3689399148 4611748935 5534098722 6148998580 9223497870 11068197444 13835246805 18446995740 27670493610 55340987220