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57554482128 = 243111337226621
BaseRepresentation
bin110101100110100000…
…111011001111010000
312111120001220121220020
4311212200323033100
51420332421412003
642235024143440
74105153011663
oct654640731720
9174501817806
1057554482128
1122455006310
12b1a2a67b80
135572bc52b0
142addb856da
15176cbd9d53
hexd6683b3d0

57554482128 has 160 divisors (see below), whose sum is σ = 179397601152. Its totient is φ = 15663974400.

The previous prime is 57554482127. The next prime is 57554482129. The reversal of 57554482128 is 82128445575.

It is a happy number.

57554482128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57554482127) and next prime (57554482129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57554482121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140658 + ... + 367278.

Almost surely, 257554482128 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 57554482128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89698800576).

57554482128 is an abundant number, since it is smaller than the sum of its proper divisors (121843119024).

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

57554482128 is a wasteful number, since it uses less digits than its factorization.

57554482128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226693 (or 226687 counting only the distinct ones).

The product of its digits is 3584000, while the sum is 51.

The spelling of 57554482128 in words is "fifty-seven billion, five hundred fifty-four million, four hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 37 39 44 48 52 66 74 78 88 104 111 132 143 148 156 176 208 222 264 286 296 312 407 429 444 481 528 572 592 624 814 858 888 962 1144 1221 1443 1628 1716 1776 1924 2288 2442 2886 3256 3432 3848 4884 5291 5772 6512 6864 7696 9768 10582 11544 15873 19536 21164 23088 31746 42328 63492 84656 126984 226621 253968 453242 679863 906484 1359726 1812968 2492831 2719452 2946073 3625936 4985662 5438904 5892146 7478493 8384977 8838219 9971324 10877808 11784292 14956986 16769954 17676438 19942648 23568584 25154931 29913972 32406803 33539908 35352876 39885296 47137168 50309862 59827944 64813606 67079816 70705752 92234747 97220409 100619724 109004701 119655888 129627212 134159632 141411504 184469494 194440818 201239448 218009402 259254424 276704241 327014103 368938988 388881636 402478896 436018804 518508848 553408482 654028206 737877976 777763272 872037608 1106816964 1199051711 1308056412 1475755952 1555526544 1744075216 2213633928 2398103422 2616112824 3597155133 4427267856 4796206844 5232225648 7194310266 9592413688 14388620532 19184827376 28777241064 57554482128