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55042058240 = 211513413477
BaseRepresentation
bin110011010000110000…
…110010100000000000
312021001222100021020122
4303100300302200000
51400211231330430
641141434155412
73655664530001
oct632060624000
9167058307218
1055042058240
1121385897034
12a801582b68
135262535c40
14294221d1a8
151672357ee5
hexcd0c32800

55042058240 has 96 divisors (see below), whose sum is σ = 142228162440. Its totient is φ = 20323172352.

The previous prime is 55042058231. The next prime is 55042058249. The reversal of 55042058240 is 4285024055.

It is an interprime number because it is at equal distance from previous prime (55042058231) and next prime (55042058249).

It can be written as a sum of positive squares in 4 ways, for example, as 39121675264 + 15920382976 = 197792^2 + 126176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55042058240.

It is not an unprimeable number, because it can be changed into a prime (55042058249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73619 + ... + 339858.

Almost surely, 255042058240 is an apocalyptic number.

It is an amenable number.

55042058240 is an abundant number, since it is smaller than the sum of its proper divisors (87186104200).

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

55042058240 is a wasteful number, since it uses less digits than its factorization.

55042058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413517 (or 413497 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 55042058240 in words is "fifty-five billion, forty-two million, fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4160 5120 6656 8320 10240 13312 16640 26624 33280 66560 133120 413477 826954 1653908 2067385 3307816 4134770 5375201 6615632 8269540 10750402 13231264 16539080 21500804 26462528 26876005 33078160 43001608 52925056 53752010 66156320 86003216 105850112 107504020 132312640 172006432 211700224 215008040 264625280 344012864 423400448 430016080 529250560 688025728 846800896 860032160 1058501120 1376051456 1720064320 2117002240 2752102912 3440128640 4234004480 5504205824 6880257280 11008411648 13760514560 27521029120 55042058240