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1484257326601 = 7226926472
BaseRepresentation
bin10101100110010100101…
…000010111011000001001
312020220010110000110122211
4111212110220113120021
5143304224333422401
63053505225345121
7212143165053400
oct25462450273011
95226113013584
101484257326601
11522519625905
121bb7aa9381a1
13a9c70a6984a
1451ba4960637
1528920283951
hex15994a17609

1484257326601 has 27 divisors (see below), whose sum is σ = 1735710144519. Its totient is φ = 1265532093168.

The previous prime is 1484257326577. The next prime is 1484257326611. The reversal of 1484257326601 is 1066237524841.

The square root of 1484257326601 is 1218301.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 97656875001 + 1386600451600 = 312501^2 + 1177540^2 .

It is not a de Polignac number, because 1484257326601 - 223 = 1484248937993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1484257326611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2294060460 + ... + 2294061106.

Almost surely, 21484257326601 is an apocalyptic number.

1484257326601 is the 1218301-st square number.

1484257326601 is the 609151-st centered octagonal number.

It is an amenable number.

1484257326601 is a deficient number, since it is larger than the sum of its proper divisors (251452817918).

1484257326601 is an frugal number, since it uses more digits than its factorization.

1484257326601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 1484257326601 by its sum of digits (49), we get a square (72728609003449 = 85281072).

1484257326601 divided by its sum of digits (49) gives a square (30290965849 = 1740432).

The spelling of 1484257326601 in words is "one trillion, four hundred eighty-four billion, two hundred fifty-seven million, three hundred twenty-six thousand, six hundred one".

Divisors: 1 7 49 269 647 1883 4529 13181 31703 72361 174043 418609 506527 1218301 2930263 3545689 8528107 20511841 46817567 112605821 327722969 788240747 2294060783 5517685229 30290965849 212036760943 1484257326601