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88648020240 = 24351328412827
BaseRepresentation
bin101001010001111010…
…1010111000100010000
322110211000220000112220
41102203311113010100
52423022343121430
6104420242421040
76255531511413
oct1224365270420
9273730800486
1088648020240
113466055074a
1215220061780
1384899b7a60
14440d529b7a
15248c820110
hex14a3d57110

88648020240 has 80 divisors (see below), whose sum is σ = 295948016448. Its totient is φ = 21821050368.

The previous prime is 88648020239. The next prime is 88648020257. The reversal of 88648020240 is 4202084688.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 88648020192 and 88648020201.

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, 14203294 + ... + 14209533.

Almost surely, 288648020240 is an apocalyptic number.

88648020240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88648020240 is an abundant number, since it is smaller than the sum of its proper divisors (207299996208).

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

88648020240 is a wasteful number, since it uses less digits than its factorization.

88648020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28412856 (or 28412850 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 88648020240 in words is "eighty-eight billion, six hundred forty-eight million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 28412827 56825654 85238481 113651308 142064135 170476962 227302616 284128270 340953924 369366751 426192405 454605232 568256540 681907848 738733502 852384810 1108100253 1136513080 1363815696 1477467004 1704769620 1846833755 2216200506 2273026160 2954934008 3409539240 3693667510 4432401012 5540501265 5909868016 6819078480 7387335020 8864802024 11081002530 14774670040 17729604048 22162005060 29549340080 44324010120 88648020240