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137410000448 = 2671372238823
BaseRepresentation
bin111111111111001000…
…1100011011001000000
3111010200100011021021212
41333332101203121000
54222403430003243
6143043021105252
712633101506130
oct1777621433100
9433610137255
10137410000448
11533033aa146
122276a3b8228
13cc5b110b96
146917670ac0
153893669318
hex1ffe463640

137410000448 has 56 divisors (see below), whose sum is σ = 313901035392. Its totient is φ = 58460120064.

The previous prime is 137410000423. The next prime is 137410000477. The reversal of 137410000448 is 844000014731.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1058036 + ... + 1180787.

It is an arithmetic number, because the mean of its divisors is an integer number (5605375632).

Almost surely, 2137410000448 is an apocalyptic number.

It is an amenable number.

137410000448 is an abundant number, since it is smaller than the sum of its proper divisors (176491034944).

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

137410000448 is a wasteful number, since it uses less digits than its factorization.

137410000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238979 (or 2238969 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 137410000448 in words is "one hundred thirty-seven billion, four hundred ten million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 137 224 274 448 548 959 1096 1918 2192 3836 4384 7672 8768 15344 30688 61376 2238823 4477646 8955292 15671761 17910584 31343522 35821168 62687044 71642336 125374088 143284672 250748176 306718751 501496352 613437502 1002992704 1226875004 2147031257 2453750008 4294062514 4907500016 8588125028 9815000032 17176250056 19630000064 34352500112 68705000224 137410000448