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2058115096080 = 243358910705967
BaseRepresentation
bin11101111100110001001…
…110000001111000010000
321021202100120122121122000
4131330301032001320100
5232210004431033310
64213252433114000
7301460003446041
oct35746116017020
97252316577560
102058115096080
1172392935370a
12292a626b8900
1311c105644ca4
1471882c888c8
153880a0054c0
hex1df31381e10

2058115096080 has 160 divisors (see below), whose sum is σ = 7168716172800. Its totient is φ = 542664004608.

The previous prime is 2058115096069. The next prime is 2058115096123. The reversal of 2058115096080 is 806905118502.

It is a happy number.

2058115096080 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 1 + 1 + 509 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5160744 + ... + 5545223.

It is an arithmetic number, because the mean of its divisors is an integer number (44804476080).

Almost surely, 22058115096080 is an apocalyptic number.

2058115096080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2058115096080 is an abundant number, since it is smaller than the sum of its proper divisors (5110601076720).

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

2058115096080 is a wasteful number, since it uses less digits than its factorization.

2058115096080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706078 (or 10706066 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 2058115096080 in words is "two trillion, fifty-eight billion, one hundred fifteen million, ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 89 90 108 120 135 144 178 180 216 240 267 270 356 360 432 445 534 540 712 720 801 890 1068 1080 1335 1424 1602 1780 2136 2160 2403 2670 3204 3560 4005 4272 4806 5340 6408 7120 8010 9612 10680 12015 12816 16020 19224 21360 24030 32040 38448 48060 64080 96120 192240 10705967 21411934 32117901 42823868 53529835 64235802 85647736 96353703 107059670 128471604 160589505 171295472 192707406 214119340 256943208 289061109 321179010 385414812 428238680 481768515 513886416 578122218 642358020 770829624 856477360 952831063 963537030 1156244436 1284716040 1445305545 1541659248 1905662126 1927074060 2312488872 2569432080 2858493189 2890611090 3811324252 3854148120 4624977744 4764155315 5716986378 5781222180 7622648504 7708296240 8575479567 9528310630 11433972756 11562444360 14292465945 15245297008 17150959134 19056621260 22867945512 23124888720 25726438701 28584931890 34301918268 38113242520 42877397835 45735891024 51452877402 57169863780 68603836536 76226485040 85754795670 102905754804 114339727560 128632193505 137207673072 171509591340 205811509608 228679455120 257264387010 343019182680 411623019216 514528774020 686038365360 1029057548040 2058115096080