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532354450144 = 251137274914869
BaseRepresentation
bin1111011111100101100…
…11000100001011100000
31212220002200211002000211
413233302303010023200
532210230214401034
61044321003223504
753314145110336
oct7576263041340
91786080732024
10532354450144
111958522327a0
1287210517b94
133b27c240b2a
141baa2231b56
15dcab2d6d64
hex7bf2cc42e0

532354450144 has 96 divisors (see below), whose sum is σ = 1174759740000. Its totient is φ = 235337840640.

The previous prime is 532354450123. The next prime is 532354450207. The reversal of 532354450144 is 441054453235.

It is a junction number, because it is equal to n+sod(n) for n = 532354450097 and 532354450106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35795542 + ... + 35810410.

It is an arithmetic number, because the mean of its divisors is an integer number (12237080625).

Almost surely, 2532354450144 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 532354450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587379870000).

532354450144 is an abundant number, since it is smaller than the sum of its proper divisors (642405289856).

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

532354450144 is a wasteful number, since it uses less digits than its factorization.

532354450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17676 (or 17668 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 532354450144 in words is "five hundred thirty-two billion, three hundred fifty-four million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 2749 3256 5498 6512 10996 13024 14869 21992 29738 30239 43984 59476 60478 87968 101713 118952 120956 163559 203426 237904 241912 327118 406852 475808 483824 550153 654236 813704 967648 1100306 1118843 1308472 1627408 2200612 2237686 2616944 3254816 4401224 4475372 5233888 6051683 8802448 8950744 12103366 17604896 17901488 24206732 35802976 40874881 48413464 81749762 96826928 163499524 193653856 326999048 449623691 653998096 899247382 1307996192 1512370597 1798494764 3024741194 3596989528 6049482388 7193979056 12098964776 14387958112 16636076567 24197929552 33272153134 48395859104 66544306268 133088612536 266177225072 532354450144