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1454403652064 = 2511149121322861
BaseRepresentation
bin10101001010100001001…
…101101000100111100000
312011001001220001200002022
4111022201031220213200
5142312104313331224
63032051021441012
7210035323031366
oct25124115504740
95131056050068
101454403652064
11510899a44310
121b5a58a10168
13a71c3ab7c7c
1450571b25636
1527c7441065e
hex152a13689e0

1454403652064 has 96 divisors (see below), whose sum is σ = 3147356671200. Its totient is φ = 656085657600.

The previous prime is 1454403652043. The next prime is 1454403652099. The reversal of 1454403652064 is 4602563044541.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 63607994 + ... + 63630854.

It is an arithmetic number, because the mean of its divisors is an integer number (32784965325).

Almost surely, 21454403652064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454403652064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573678335600).

1454403652064 is an abundant number, since it is smaller than the sum of its proper divisors (1692953019136).

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

1454403652064 is a wasteful number, since it uses less digits than its factorization.

1454403652064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24244 (or 24236 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 1454403652064 in words is "one trillion, four hundred fifty-four billion, four hundred three million, six hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 298 352 596 1192 1213 1639 2384 2426 3278 4768 4852 6556 9704 13112 13343 19408 22861 26224 26686 38816 45722 52448 53372 91444 106744 180737 182888 213488 251471 361474 365776 426976 502942 722948 731552 1005884 1445896 1988107 2011768 2891792 3406289 3976214 4023536 5783584 6812578 7952428 8047072 13625156 15904856 27250312 27730393 31809712 37469179 54500624 55460786 63619424 74938358 109001248 110921572 149876716 221843144 299753432 305034323 443686288 599506864 610068646 887372576 1199013728 1220137292 2440274584 4131828557 4880549168 8263657114 9761098336 16527314228 33054628456 45450114127 66109256912 90900228254 132218513824 181800456508 363600913016 727201826032 1454403652064