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48002469653760 = 283560120799739
BaseRepresentation
bin10101110101000011100100…
…01001101110110100000000
320021221222202122101211020120
422322201302021232310000
522242433024212410020
6250032010301340240
713053030642551556
oct1272416211566400
9207858678354216
1048002469653760
1114327807774776
125473249b67680
1320a27c8a245bb
14bbd490b49bd6
155839c38b6740
hex2ba87226ed00

48002469653760 has 144 divisors (see below), whose sum is σ = 153562982838720. Its totient is φ = 12779359027200.

The previous prime is 48002469653753. The next prime is 48002469653843. The reversal of 48002469653760 is 6735696420084.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 48002469653694 and 48002469653703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8092030 + ... + 12707709.

Almost surely, 248002469653760 is an apocalyptic number.

48002469653760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48002469653760 is an abundant number, since it is smaller than the sum of its proper divisors (105560513184960).

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

48002469653760 is a wasteful number, since it uses less digits than its factorization.

48002469653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20800364 (or 20800350 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 48002469653760 in words is "forty-eight trillion, two billion, four hundred sixty-nine million, six hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 601 640 768 960 1202 1280 1803 1920 2404 3005 3606 3840 4808 6010 7212 9015 9616 12020 14424 18030 19232 24040 28848 36060 38464 48080 57696 72120 76928 96160 115392 144240 153856 192320 230784 288480 384640 461568 576960 769280 1153920 2307840 20799739 41599478 62399217 83198956 103998695 124798434 166397912 207997390 249596868 311996085 332795824 415994780 499193736 623992170 665591648 831989560 998387472 1247984340 1331183296 1663979120 1996774944 2495968680 2662366592 3327958240 3993549888 4991937360 5324733184 6655916480 7987099776 9983874720 12500643139 13311832960 15974199552 19967749440 25001286278 26623665920 37501929417 39935498880 50002572556 62503215695 75003858834 79870997760 100005145112 125006431390 150007717668 187509647085 200010290224 250012862780 300015435336 375019294170 400020580448 500025725560 600030870672 750038588340 800041160896 1000051451120 1200061741344 1500077176680 1600082321792 2000102902240 2400123482688 3000154353360 3200164643584 4000205804480 4800246965376 6000308706720 8000411608960 9600493930752 12000617413440 16000823217920 24001234826880 48002469653760