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3053413742760 = 233451553606833
BaseRepresentation
bin101100011011101101101…
…001000011100010101000
3101210220101122122112210000
4230123231221003202220
5400011342404232020
610254415141223000
7433413303402453
oct54335551034250
911726348575700
103053413742760
11a77a44501237
12413932101a60
13191c218c7a54
14a7b00b7049a
155465db58090
hex2c6eda438a8

3053413742760 has 160 divisors (see below), whose sum is σ = 10269488192040. Its totient is φ = 813718020096.

The previous prime is 3053413742737. The next prime is 3053413742777. The reversal of 3053413742760 is 672473143503.

3053413742760 is a `hidden beast` number, since 3 + 0 + 5 + 3 + 4 + 1 + 374 + 276 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 956472264036 + 2096941478724 = 977994^2 + 1448082^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4728304 + ... + 5335136.

Almost surely, 23053413742760 is an apocalyptic number.

3053413742760 is a gapful number since it is divisible by the number (30) 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 3053413742760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134744096020).

3053413742760 is an abundant number, since it is smaller than the sum of its proper divisors (7216074449280).

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

3053413742760 is a wasteful number, since it uses less digits than its factorization.

3053413742760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608409 (or 608396 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 3053413742760 in words is "three trillion, fifty-three billion, four hundred thirteen million, seven hundred forty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1553 1620 3106 3240 4659 6212 7765 9318 12424 13977 15530 18636 23295 27954 31060 37272 41931 46590 55908 62120 69885 83862 93180 111816 125793 139770 167724 186360 209655 251586 279540 335448 419310 503172 559080 606833 628965 838620 1006344 1213666 1257930 1677240 1820499 2427332 2515860 3034165 3640998 4854664 5031720 5461497 6068330 7281996 9102495 10922994 12136660 14563992 16384491 18204990 21845988 24273320 27307485 32768982 36409980 43691976 49153473 54614970 65537964 72819960 81922455 98306946 109229940 131075928 163844910 196613892 218459880 245767365 327689820 393227784 491534730 655379640 942411649 983069460 1884823298 1966138920 2827234947 3769646596 4712058245 5654469894 7539293192 8481704841 9424116490 11308939788 14136174735 16963409682 18848232980 22617879576 25445114523 28272349470 33926819364 37696465960 42408524205 50890229046 56544698940 67853638728 76335343569 84817048410 101780458092 113089397880 127225572615 152670687138 169634096820 203560916184 254451145230 305341374276 339268193640 381676717845 508902290460 610682748552 763353435690 1017804580920 1526706871380 3053413742760