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153841472020448 = 251713716631241257
BaseRepresentation
bin100010111110101100000010…
…010010101001111111100000
3202011201002201200210201210122
4202332230002102221333200
5130131014313314123243
61303105444021215412
744255452043156222
oct4276540222517740
9664632650721718
10153841472020448
11450228903534a3
1215307611861568
1367ac25b371844
1429dbd77544412
1512bbb82cbb668
hex8beb024a9fe0

153841472020448 has 96 divisors (see below), whose sum is σ = 323226919701504. Its totient is φ = 71824275505152.

The previous prime is 153841472020447. The next prime is 153841472020463. The reversal of 153841472020448 is 844020274148351.

It is a self number, because there is not a number n which added to its sum of digits gives 153841472020448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153841472020441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123319436 + ... + 124560692.

It is an arithmetic number, because the mean of its divisors is an integer number (3366947080224).

Almost surely, 2153841472020448 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 153841472020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161613459850752).

153841472020448 is an abundant number, since it is smaller than the sum of its proper divisors (169385447681056).

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

153841472020448 is a wasteful number, since it uses less digits than its factorization.

153841472020448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243084 (or 1243076 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 53.

The spelling of 153841472020448 in words is "one hundred fifty-three trillion, eight hundred forty-one billion, four hundred seventy-two million, twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 137 272 274 544 548 1096 1663 2192 2329 3326 4384 4658 6652 9316 13304 18632 26608 28271 37264 53216 56542 74528 113084 226168 227831 452336 455662 904672 911324 1241257 1822648 2482514 3645296 3873127 4965028 7290592 7746254 9930056 15492508 19860112 21101369 30985016 39720224 42202738 61970032 84405476 123940064 168810952 170052209 337621904 340104418 675243808 680208836 1360417672 2064210391 2720835344 2890887553 4128420782 5441670688 5781775106 8256841564 11563550212 16513683128 23127100424 33027366256 35091576647 46254200848 66054732512 70183153294 92508401696 140366306588 280732613176 282796823567 561465226352 565593647134 1122930452704 1131187294268 2262374588536 4524749177072 4807546000639 9049498354144 9615092001278 19230184002556 38460368005112 76920736010224 153841472020448