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102171456480 = 2535400153201
BaseRepresentation
bin101111100100111100…
…1001011001111100000
3100202201111121202112210
41133021321023033200
53133221343101410
6114534212522120
710244622023262
oct1371171131740
9322644552483
10102171456480
113a37013a535
1217975020340
139833659032
144d335cbb32
1529cebb9220
hex17c9e4b3e0

102171456480 has 96 divisors (see below), whose sum is σ = 321926578848. Its totient is φ = 27238400000.

The previous prime is 102171456467. The next prime is 102171456487. The reversal of 102171456480 is 84654171201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102171456487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1893880 + ... + 1947080.

It is an arithmetic number, because the mean of its divisors is an integer number (3353401863).

Almost surely, 2102171456480 is an apocalyptic number.

102171456480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102171456480 is an abundant number, since it is smaller than the sum of its proper divisors (219755122368).

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

102171456480 is a wasteful number, since it uses less digits than its factorization.

102171456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57220 (or 57212 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 102171456480 in words is "one hundred two billion, one hundred seventy-one million, four hundred fifty-six 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 4001 8002 12003 16004 20005 24006 32008 40010 48012 53201 60015 64016 80020 96024 106402 120030 128032 159603 160040 192048 212804 240060 266005 319206 320080 384096 425608 480120 532010 638412 640160 798015 851216 960240 1064020 1276824 1596030 1702432 1920480 2128040 2553648 3192060 4256080 5107296 6384120 8512160 12768240 25536480 212857201 425714402 638571603 851428804 1064286005 1277143206 1702857608 2128572010 2554286412 3192858015 3405715216 4257144020 5108572824 6385716030 6811430432 8514288040 10217145648 12771432060 17028576080 20434291296 25542864120 34057152160 51085728240 102171456480