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2058275544 = 23313172811381
BaseRepresentation
bin111101010101110…
…1100101011011000
312022110000020020120
41322223230223120
513203404304134
6540123553240
7102002024223
oct17253545330
95273006216
102058275544
1196692a976
1249538b820
1326a56c430
141575085ba
15c0a74649
hex7aaecad8

2058275544 has 128 divisors (see below), whose sum is σ = 5892626880. Its totient is φ = 593510400.

The previous prime is 2058275519. The next prime is 2058275579. The reversal of 2058275544 is 4455728502.

It is a junction number, because it is equal to n+sod(n) for n = 2058275496 and 2058275505.

It is a congruent number.

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, 1489734 + ... + 1491114.

Almost surely, 22058275544 is an apocalyptic number.

2058275544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058275544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946313440).

2058275544 is an abundant number, since it is smaller than the sum of its proper divisors (3834351336).

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

2058275544 is a wasteful number, since it uses less digits than its factorization.

2058275544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The square root of 2058275544 is about 45368.2217416552. The cubic root of 2058275544 is about 1272.0411807798.

The spelling of 2058275544 in words is "two billion, fifty-eight million, two hundred seventy-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 281 312 408 442 562 663 843 884 1124 1326 1381 1686 1768 2248 2652 2762 3372 3653 4143 4777 5304 5524 6744 7306 8286 9554 10959 11048 14331 14612 16572 17953 19108 21918 23477 28662 29224 33144 35906 38216 43836 46954 53859 57324 62101 70431 71812 87672 93908 107718 114648 124202 140862 143624 186303 187816 215436 248404 281724 305201 372606 388061 430872 496808 563448 610402 745212 776122 915603 1164183 1220804 1490424 1552244 1831206 2328366 2441608 3104488 3662412 4656732 5044793 6597037 7324824 9313464 10089586 13194074 15134379 19791111 20179172 26388148 30268758 39582222 40358344 52776296 60537516 79164444 85761481 121075032 158328888 171522962 257284443 343045924 514568886 686091848 1029137772 2058275544