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48448808400480 = 2535102563984127
BaseRepresentation
bin10110000010000010111100…
…00000111011011001100000
320100112122211202111102112220
423001001132000323121200
522322241124422303410
6251013024133551040
713130211431366535
oct1301013600733140
9210478752442486
1048448808400480
111448a02a314364
125525853aa5480
13210591a726ca7
14bd6d132a6d8c
155903e84e4070
hex2c105e03b660

48448808400480 has 96 divisors (see below), whose sum is σ = 152615389538304. Its totient is φ = 12919543143936.

The previous prime is 48448808400467. The next prime is 48448808400493. The reversal of 48448808400480 is 8400480884484.

It is an interprime number because it is at equal distance from previous prime (48448808400467) and next prime (48448808400493).

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 48738177 + ... + 49722303.

It is an arithmetic number, because the mean of its divisors is an integer number (1589743641024).

Almost surely, 248448808400480 is an apocalyptic number.

48448808400480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48448808400480 is an abundant number, since it is smaller than the sum of its proper divisors (104166581137824).

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

48448808400480 is a wasteful number, since it uses less digits than its factorization.

48448808400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086708 (or 1086700 counting only the distinct ones).

The product of its (nonzero) digits is 33554432, while the sum is 60.

The spelling of 48448808400480 in words is "forty-eight trillion, four hundred forty-eight billion, eight hundred eight million, four hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 102563 205126 307689 410252 512815 615378 820504 984127 1025630 1230756 1538445 1641008 1968254 2051260 2461512 2952381 3076890 3282016 3936508 4102520 4920635 4923024 5904762 6153780 7873016 8205040 9841270 9846048 11809524 12307560 14761905 15746032 16410080 19682540 23619048 24615120 29523810 31492064 39365080 47238096 49230240 59047620 78730160 94476192 118095240 157460320 236190480 472380960 100935017501 201870035002 302805052503 403740070004 504675087505 605610105006 807480140008 1009350175010 1211220210012 1514025262515 1614960280016 2018700350020 2422440420024 3028050525030 3229920560032 4037400700040 4844880840048 6056101050060 8074801400080 9689761680096 12112202100120 16149602800160 24224404200240 48448808400480