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55053903456 = 25322947140249
BaseRepresentation
bin110011010001011101…
…111110011001100000
312021002210122001211100
4303101131332121200
51400222244402311
641142540114400
73656200313106
oct632135763140
9167083561740
1055053903456
1121391547572
12a805535a00
135264b22646
142943a23c76
1516733e7a56
hexcd177e660

55053903456 has 144 divisors (see below), whose sum is σ = 165405240000. Its totient is φ = 17341384704.

The previous prime is 55053903449. The next prime is 55053903479. The reversal of 55053903456 is 65430935055.

55053903456 is a `hidden beast` number, since 5 + 505 + 3 + 90 + 3 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 322420 + ... + 462668.

It is an arithmetic number, because the mean of its divisors is an integer number (1148647500).

Almost surely, 255053903456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55053903456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82702620000).

55053903456 is an abundant number, since it is smaller than the sum of its proper divisors (110351336544).

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

55053903456 is a wasteful number, since it uses less digits than its factorization.

55053903456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140341 (or 140330 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 55053903456 in words is "fifty-five billion, fifty-three million, nine hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 47 48 58 72 87 94 96 116 141 144 174 188 232 261 282 288 348 376 423 464 522 564 696 752 846 928 1044 1128 1363 1392 1504 1692 2088 2256 2726 2784 3384 4089 4176 4512 5452 6768 8178 8352 10904 12267 13536 16356 21808 24534 32712 43616 49068 65424 98136 130848 140249 196272 280498 392544 420747 560996 841494 1121992 1262241 1682988 2243984 2524482 3365976 4067221 4487968 5048964 6591703 6731952 8134442 10097928 12201663 13183406 13463904 16268884 19775109 20195856 24403326 26366812 32537768 36604989 39550218 40391712 48806652 52733624 59325327 65075536 73209978 79100436 97613304 105467248 118650654 130151072 146419956 158200872 191159387 195226608 210934496 237301308 292839912 316401744 382318774 390453216 474602616 573478161 585679824 632803488 764637548 949205232 1146956322 1171359648 1529275096 1720434483 1898410464 2293912644 3058550192 3440868966 4587825288 6117100384 6881737932 9175650576 13763475864 18351301152 27526951728 55053903456