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5158107733590 = 234574481203017
BaseRepresentation
bin100101100001111011100…
…1011011101111001010110
3200021002222101201011220000
41023003313023131321112
51134002301034433330
614545334005552130
71041442501215510
oct113036713357126
920232871634800
105158107733590
1117095a5386989
126b3813a15646
132b553b2a7406
1413b921c46bb0
158e292ecc560
hex4b0f72dde56

5158107733590 has 160 divisors (see below), whose sum is σ = 15854562402624. Its totient is φ = 1178727137280.

The previous prime is 5158107733567. The next prime is 5158107733601. The reversal of 5158107733590 is 953377018515.

It is a happy number.

5158107733590 is a `hidden beast` number, since 5 + 1 + 5 + 8 + 10 + 7 + 7 + 33 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25305762 + ... + 25508778.

Almost surely, 25158107733590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5158107733590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927281201312).

5158107733590 is an abundant number, since it is smaller than the sum of its proper divisors (10696454669034).

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

5158107733590 is a wasteful number, since it uses less digits than its factorization.

5158107733590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207524 (or 207515 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 5158107733590 in words is "five trillion, one hundred fifty-eight billion, one hundred seven million, seven hundred thirty-three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 4481 5670 8962 13443 22405 26886 31367 40329 44810 62734 67215 80658 94101 120987 134430 156835 188202 201645 203017 241974 282303 313670 362961 403290 406034 470505 564606 604935 609051 725922 846909 941010 1015085 1209870 1218102 1411515 1421119 1693818 1814805 1827153 2030170 2540727 2823030 2842238 3045255 3629610 3654306 4234545 4263357 5081454 5481459 6090510 7105595 8469090 8526714 9135765 10962918 12703635 12790071 14211190 16444377 18271530 21316785 25407270 25580142 27407295 32888754 38370213 42633570 54814590 63950355 76740426 82221885 115110639 127900710 164443770 191851065 230221278 383702130 575553195 909719177 1151106390 1819438354 2729157531 4548595885 5458315062 6368034239 8187472593 9097191770 12736068478 13645787655 16374945186 19104102717 24562417779 27291575310 31840171195 38208205434 40937362965 49124835558 57312308151 63680342390 73687253337 81874725930 95520513585 114624616302 122812088895 147374506674 171936924453 191041027170 245624177790 286561540755 343873848906 368436266685 515810773359 573123081510 736872533370 859684622265 1031621546718 1719369244530 2579053866795 5158107733590