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1450537827072 = 28337411245037
BaseRepresentation
bin10101000110111010110…
…010101011101100000000
312010200002110211102010220
4111012322302223230000
5142231200140431242
63030211243423040
7206540452044525
oct25067262535400
95120073742126
101450537827072
1150a195873824
121b515a224a80
13a6a28c14469
14502c653b14c
1527ae9d40bec
hex151bacabb00

1450537827072 has 144 divisors (see below), whose sum is σ = 4061592844512. Its totient is φ = 458970071040.

The previous prime is 1450537827047. The next prime is 1450537827103. The reversal of 1450537827072 is 2707287350541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542538 + ... + 1787574.

Almost surely, 21450537827072 is an apocalyptic number.

1450537827072 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 1450537827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030796422256).

1450537827072 is an abundant number, since it is smaller than the sum of its proper divisors (2611055017440).

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

1450537827072 is a wasteful number, since it uses less digits than its factorization.

1450537827072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245134 (or 1245120 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 1450537827072 in words is "one trillion, four hundred fifty billion, five hundred thirty-seven million, eight hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 64 74 82 96 111 123 128 148 164 192 222 246 256 296 328 384 444 492 592 656 768 888 984 1184 1312 1517 1776 1968 2368 2624 3034 3552 3936 4551 4736 5248 6068 7104 7872 9102 9472 10496 12136 14208 15744 18204 24272 28416 31488 36408 48544 72816 97088 145632 194176 291264 388352 582528 1165056 1245037 2490074 3735111 4980148 7470222 9960296 14940444 19920592 29880888 39841184 46066369 51046517 59761776 79682368 92132738 102093034 119523552 138199107 153139551 159364736 184265476 204186068 239047104 276398214 306279102 318729472 368530952 408372136 478094208 552796428 612558204 737061904 816744272 956188416 1105592856 1225116408 1474123808 1633488544 1888721129 2211185712 2450232816 2948247616 3266977088 3777442258 4422371424 4900465632 5666163387 5896495232 6533954176 7554884516 8844742848 9800931264 11332326774 11792990464 13067908352 15109769032 17689485696 19601862528 22664653548 30219538064 35378971392 39203725056 45329307096 60439076128 90658614192 120878152256 181317228384 241756304512 362634456768 483512609024 725268913536 1450537827072