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57623453034 = 2374199133767
BaseRepresentation
bin110101101010101000…
…000001110101101010
312111201212200201012020
4311222220001311222
51421003100444114
642245530325310
74106651161230
oct655250016552
9174655621166
1057623453034
112248aa34164
12b201b89836
135584293594
142b08dba950
151773cb0aa9
hexd6aa01d6a

57623453034 has 64 divisors (see below), whose sum is σ = 135063355392. Its totient is φ = 16045603200.

The previous prime is 57623453033. The next prime is 57623453047. The reversal of 57623453034 is 43035432675.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57623453033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1689619 + ... + 1723385.

It is an arithmetic number, because the mean of its divisors is an integer number (2110364928).

Almost surely, 257623453034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57623453034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67531677696).

57623453034 is an abundant number, since it is smaller than the sum of its proper divisors (77439902358).

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

57623453034 is a wasteful number, since it uses less digits than its factorization.

57623453034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34811.

The product of its (nonzero) digits is 907200, while the sum is 42.

The spelling of 57623453034 in words is "fifty-seven billion, six hundred twenty-three million, four hundred fifty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 991 1722 1982 2973 5946 6937 13874 20811 33767 40631 41622 67534 81262 101301 121893 202602 236369 243786 284417 472738 568834 709107 853251 1384447 1418214 1706502 2768894 4153341 8306682 9691129 19382258 29073387 33463097 58146774 66926194 100389291 200778582 234241679 468483358 702725037 1371986977 1405450074 2743973954 4115960931 8231921862 9603908839 19207817678 28811726517 57623453034