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48465186840 = 2334572136913
BaseRepresentation
bin101101001000110000…
…000001000000011000
311122002121210120210000
4231020300001000120
51243224041434330
634133053053000
73334004201550
oct551060010030
9148077716700
1048465186840
1119610375224
129486a87160
134754aaba65
1424ba968160
1513d9c70560
hexb48c01018

48465186840 has 160 divisors (see below), whose sum is σ = 186167947680. Its totient is φ = 11077751808.

The previous prime is 48465186839. The next prime is 48465186841. The reversal of 48465186840 is 4868156484.

It is a happy number.

48465186840 is a `hidden beast` number, since 4 + 8 + 46 + 518 + 6 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48465186839) and next prime (48465186841).

It is a super-2 number, since 2×484651868402 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48465186841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1045777 + ... + 1091136.

It is an arithmetic number, because the mean of its divisors is an integer number (1163549673).

Almost surely, 248465186840 is an apocalyptic number.

48465186840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48465186840 is an abundant number, since it is smaller than the sum of its proper divisors (137702760840).

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

48465186840 is a wasteful number, since it uses less digits than its factorization.

48465186840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136943 (or 2136930 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 48465186840 in words is "forty-eight billion, four hundred sixty-five million, one hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 2136913 4273826 6410739 8547652 10684565 12821478 14958391 17095304 19232217 21369130 25642956 29916782 32053695 38464434 42738260 44875173 51285912 57696651 59833564 64107390 74791955 76928868 85476520 89750346 96161085 115393302 119667128 128214780 134625519 149583910 153857736 173089953 179500692 192322170 224375865 230786604 256429560 269251038 288483255 299167820 346179906 359001384 384644340 403876557 448751730 461573208 538502076 576966510 598335640 673127595 692359812 769288680 807753114 865449765 897503460 1077004152 1153933020 1211629671 1346255190 1384719624 1615506228 1730899530 1795006920 2019382785 2307866040 2423259342 2692510380 3231012456 3461799060 4038765570 4846518684 5385020760 6058148355 6923598120 8077531140 9693037368 12116296710 16155062280 24232593420 48465186840