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48898210560 = 2835127100267
BaseRepresentation
bin101101100010100011…
…110111101100000000
311200012210121110122120
4231202203313230000
51300120420214220
634244042204240
73350512634433
oct554243675400
9150183543576
1048898210560
1119812846371
129587ab3680
1347c3713704
14251c28781a
151412ca8a40
hexb628f7b00

48898210560 has 144 divisors (see below), whose sum is σ = 157399904256. Its totient is φ = 12936720384.

The previous prime is 48898210523. The next prime is 48898210567. The reversal of 48898210560 is 6501289884.

It is not an unprimeable number, because it can be changed into a prime (48898210567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437547 + ... + 537813.

Almost surely, 248898210560 is an apocalyptic number.

48898210560 is a gapful number since it is divisible by the number (40) 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 48898210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78699952128).

48898210560 is an abundant number, since it is smaller than the sum of its proper divisors (108501693696).

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

48898210560 is a wasteful number, since it uses less digits than its factorization.

48898210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100418 (or 100404 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 48898210560 in words is "forty-eight billion, eight hundred ninety-eight million, two hundred ten thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 240 254 256 320 381 384 480 508 635 640 762 768 960 1016 1270 1280 1524 1905 1920 2032 2540 3048 3810 3840 4064 5080 6096 7620 8128 10160 12192 15240 16256 20320 24384 30480 32512 40640 48768 60960 81280 97536 100267 121920 162560 200534 243840 300801 401068 487680 501335 601602 802136 1002670 1203204 1504005 1604272 2005340 2406408 3008010 3208544 4010680 4812816 6016020 6417088 8021360 9625632 12032040 12733909 12834176 16042720 19251264 24064080 25467818 25668352 32085440 38201727 38502528 48128160 50935636 63669545 64170880 76403454 77005056 96256320 101871272 127339090 128341760 152806908 191008635 192512640 203742544 254678180 305613816 382017270 385025280 407485088 509356360 611227632 764034540 814970176 1018712720 1222455264 1528069080 1629940352 2037425440 2444910528 3056138160 3259880704 4074850880 4889821056 6112276320 8149701760 9779642112 12224552640 16299403520 24449105280 48898210560