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1072456641552 = 243471341135447
BaseRepresentation
bin11111001101100110110…
…01011010110000010000
310210112012100101012000210
433212303121122300100
5120032342400012202
62140402455444120
7140324322020652
oct17466331326020
93715170335023
101072456641552
1138390a8a713a
12153a23686640
137a19467123a
1439c9b4246d2
151cd6c88ac6c
hexf9b365ac10

1072456641552 has 80 divisors (see below), whose sum is σ = 2829750884352. Its totient is φ = 349843512960.

The previous prime is 1072456641551. The next prime is 1072456641563. The reversal of 1072456641552 is 2551466542701.

1072456641552 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1072456641551) 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, 30237493 + ... + 30272939.

Almost surely, 21072456641552 is an apocalyptic number.

1072456641552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1072456641552 is an abundant number, since it is smaller than the sum of its proper divisors (1757294242800).

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

1072456641552 is a wasteful number, since it uses less digits than its factorization.

1072456641552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48916 (or 48910 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 1072456641552 in words is "one trillion, seventy-two billion, four hundred fifty-six million, six hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 13411 26822 35447 40233 53644 70894 80466 106341 107288 141788 160932 212682 214576 283576 321864 425364 567152 630317 643728 850728 1260634 1666009 1701456 1890951 2521268 3332018 3781902 4998027 5042536 6664036 7563804 9996054 10085072 13328072 15127608 19992108 26656144 30255216 39984216 79968432 475379717 950759434 1426139151 1901518868 2852278302 3803037736 5704556604 7606075472 11409113208 22342846699 22818226416 44685693398 67028540097 89371386796 134057080194 178742773592 268114160388 357485547184 536228320776 1072456641552