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1387098653472 = 2532719296912197
BaseRepresentation
bin10100001011110101100…
…001011100001100100000
311220121100021211111010200
4110023311201130030200
5140211234223402342
62541120242025200
7202133412005610
oct24136541341440
94817307744120
101387098653472
114952a1034734
121a49b4648200
13a0a58ac6b0c
144b1c9000a40
15261356e894c
hex142f585c320

1387098653472 has 288 divisors, whose sum is σ = 4747324982400. Its totient is φ = 375298043904.

The previous prime is 1387098653431. The next prime is 1387098653509. The reversal of 1387098653472 is 2743568907831.

1387098653472 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 0 + 98 + 6 + 534 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 113718478 + ... + 113730674.

It is an arithmetic number, because the mean of its divisors is an integer number (16483767300).

It is a 1-persistent number, because it is pandigital, but 2⋅1387098653472 = 2774197306944 is not.

Almost surely, 21387098653472 is an apocalyptic number.

1387098653472 is a gapful number since it is divisible by the number (12) 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 1387098653472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373662491200).

1387098653472 is an abundant number, since it is smaller than the sum of its proper divisors (3360226328928).

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

1387098653472 is a wasteful number, since it uses less digits than its factorization.

1387098653472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1387098653472 in words is "one trillion, three hundred eighty-seven billion, ninety-eight million, six hundred fifty-three thousand, four hundred seventy-two".