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11315512055120 = 2457133823406573
BaseRepresentation
bin1010010010101001100100…
…0100111001010101010000
31111001202022111020202022112
42210222121010321111100
52440343132041230440
640022135141524452
72245342636331330
oct244523104712520
944052274222275
1011315512055120
113672977618879
121329032113728
13641081bb4bb0
142b19609110c0
15149520ac7965
hexa4a99139550

11315512055120 has 160 divisors (see below), whose sum is σ = 32388322348032. Its totient is φ = 3580227495936.

The previous prime is 11315512055101. The next prime is 11315512055167. The reversal of 11315512055120 is 2155021551311.

It is a super-3 number, since 3×113155120551203 (a number of 40 digits) contains 333 as substring.

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, 27628154 + ... + 28034726.

Almost surely, 211315512055120 is an apocalyptic number.

11315512055120 is a gapful number since it is divisible by the number (10) 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 11315512055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16194161174016).

11315512055120 is an abundant number, since it is smaller than the sum of its proper divisors (21072810292912).

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

11315512055120 is a wasteful number, since it uses less digits than its factorization.

11315512055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410429 (or 410423 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 32.

The spelling of 11315512055120 in words is "eleven trillion, three hundred fifteen billion, five hundred twelve million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 3823 7280 7646 15292 19115 26761 30584 38230 49699 53522 61168 76460 99398 107044 133805 152920 198796 214088 248495 267610 305840 347893 397592 406573 428176 496990 535220 695786 795184 813146 993980 1070440 1391572 1626292 1739465 1987960 2032865 2140880 2783144 2846011 3252584 3478930 3975920 4065730 5285449 5566288 5692022 6505168 6957860 8131460 10570898 11384044 13915720 14230055 16262920 21141796 22768088 26427245 27831440 28460110 32525840 36998143 42283592 45536176 52854490 56920220 73996286 84567184 105708980 113840440 147992572 184990715 211417960 227680880 295985144 369981430 422835920 591970288 739962860 1479925720 1554328579 2959851440 3108657158 6217314316 7771642895 10880300053 12434628632 15543285790 20206271527 21760600106 24869257264 31086571580 40412543054 43521200212 54401500265 62173143160 80825086108 87042400424 101031357635 108803000530 124346286320 141443900689 161650172216 174084800848 202062715270 217606001060 282887801378 323300344432 404125430540 435212002120 565775602756 707219503445 808250861080 870424004240 1131551205512 1414439006890 1616501722160 2263102411024 2828878013780 5657756027560 11315512055120