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58938989648 = 2471125418039
BaseRepresentation
bin110110111001000010…
…011001110001010000
312122010120002220011112
4312321002121301100
51431201340132043
643024243032452
74154364101030
oct667102316120
9178116086145
1058938989648
1122aa5583300
12b50a66b728
1357339ab206
142bd19c38c0
1517ee51e518
hexdb9099c50

58938989648 has 120 divisors (see below), whose sum is σ = 143733717120. Its totient is φ = 22917945600.

The previous prime is 58938989639. The next prime is 58938989657. The reversal of 58938989648 is 84698983985.

It is an interprime number because it is at equal distance from previous prime (58938989639) and next prime (58938989657).

It is a Harshad number since it is a multiple of its sum of digits (77).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7327613 + ... + 7335651.

It is an arithmetic number, because the mean of its divisors is an integer number (1197780976).

Almost surely, 258938989648 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 58938989648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71866858560).

58938989648 is an abundant number, since it is smaller than the sum of its proper divisors (84794727472).

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

58938989648 is a wasteful number, since it uses less digits than its factorization.

58938989648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617 (or 8600 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 77.

The spelling of 58938989648 in words is "fifty-eight billion, nine hundred thirty-eight million, nine hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 541 616 847 968 1082 1232 1694 1936 2164 3388 3787 4328 5951 6776 7574 8039 8656 11902 13552 15148 16078 23804 30296 32156 41657 47608 56273 60592 64312 65461 83314 88429 95216 112546 128624 130922 166628 176858 225092 261844 333256 353716 450184 458227 523688 619003 666512 707432 900368 916454 972719 1047376 1238006 1414864 1832908 1945438 2476012 3665816 3890876 4349099 4952024 6809033 7331632 7781752 8698198 9904048 13618066 15563504 17396396 27236132 30443693 34792792 47840089 54472264 60887386 69585584 95680178 108944528 121774772 191360356 243549544 334880623 382720712 487099088 526240979 669761246 765441424 1052481958 1339522492 2104963916 2679044984 3683686853 4209927832 5358089968 7367373706 8419855664 14734747412 29469494824 58938989648