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57601501540 = 225111718185091
BaseRepresentation
bin110101101001010100…
…010010100101100100
312111200100101110101221
4311221110102211210
51420431441022130
642243424030124
74106263453552
oct655124224544
9174610343357
1057601501540
1122479600730
12b1b6762344
13557c878b2b
142b06104bd2
151771dc687a
hexd69512964

57601501540 has 96 divisors (see below), whose sum is σ = 140495741568. Its totient is φ = 19604736000.

The previous prime is 57601501493. The next prime is 57601501579. The reversal of 57601501540 is 4510510675.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 57601501496 and 57601501505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634395 + ... + 719485.

It is an arithmetic number, because the mean of its divisors is an integer number (1463497308).

Almost surely, 257601501540 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 57601501540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70247870784).

57601501540 is an abundant number, since it is smaller than the sum of its proper divisors (82894240028).

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

57601501540 is a wasteful number, since it uses less digits than its factorization.

57601501540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85309 (or 85307 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 57601501540 in words is "fifty-seven billion, six hundred one million, five hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 181 187 220 340 362 374 724 748 905 935 1810 1870 1991 3077 3620 3740 3982 6154 7964 9955 12308 15385 19910 30770 33847 39820 61540 67694 85091 135388 169235 170182 338470 340364 425455 676940 850910 936001 1446547 1701820 1872002 2893094 3744004 4680005 5786188 7232735 9360010 14465470 15401471 15912017 18720020 28930940 30802942 31824034 61605884 63648068 77007355 79560085 154014710 159120170 169416181 261825007 308029420 318240340 338832362 523650014 677664724 847080905 1047300028 1309125035 1694161810 2618250070 2880075077 3388323620 5236500140 5760150154 11520300308 14400375385 28800750770 57601501540