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48418583040 = 293252101501
BaseRepresentation
bin101101000101111110…
…001111001000000000
311121222101002212101100
4231011332033020000
51243130124124130
634124310134400
73332600110452
oct550576171000
9147871085340
1048418583040
1119597034093
129473351400
134748242449
1424b46b62d2
1513d5b16c60
hexb45f8f200

48418583040 has 120 divisors (see below), whose sum is σ = 167687250588. Its totient is φ = 12911616000.

The previous prime is 48418583033. The next prime is 48418583117. The reversal of 48418583040 is 4038581484.

It can be written as a sum of positive squares in 2 ways, for example, as 46842810624 + 1575772416 = 216432^2 + 39696^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 11 ways as a sum of consecutive naturals, for example, 1027711 + ... + 1073790.

Almost surely, 248418583040 is an apocalyptic number.

48418583040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48418583040 is an abundant number, since it is smaller than the sum of its proper divisors (119268667548).

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

48418583040 is a wasteful number, since it uses less digits than its factorization.

48418583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101530 (or 2101511 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 48418583040 in words is "forty-eight billion, four hundred eighteen million, five hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 2101501 4203002 6304503 8406004 10507505 12609006 16812008 18913509 21015010 25218012 31522515 33624016 37827018 42030020 50436024 63045030 67248032 75654036 84060040 94567545 100872048 126090060 134496064 151308072 168120080 189135090 201744096 252180120 268992128 302616144 336240160 378270180 403488192 504360240 537984256 605232288 672480320 756540360 806976384 1008720480 1075968512 1210464576 1344960640 1513080720 1613952768 2017440960 2420929152 2689921280 3026161440 3227905536 4034881920 4841858304 5379842560 6052322880 8069763840 9683716608 12104645760 16139527680 24209291520 48418583040