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532419080448 = 2837112776883
BaseRepresentation
bin1111011111101101010…
…01100111000100000000
31212220021012102122010210
413233312221213010000
532210343241033243
61044331232354120
753315561341023
oct7576651470400
91786235378123
10532419080448
11195885766472
128722a0a5940
133b28c74c508
141baaaa571ba
15dcb1d01933
hex7bf6a67100

532419080448 has 144 divisors (see below), whose sum is σ = 1448302657536. Its totient is φ = 173593405440.

The previous prime is 532419080437. The next prime is 532419080477. The reversal of 532419080448 is 844080914235.

532419080448 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 532419080397 and 532419080406.

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, 6886615 + ... + 6963497.

It is an arithmetic number, because the mean of its divisors is an integer number (10057657344).

Almost surely, 2532419080448 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 532419080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724151328768).

532419080448 is an abundant number, since it is smaller than the sum of its proper divisors (915883577088).

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

532419080448 is a wasteful number, since it uses less digits than its factorization.

532419080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77100 (or 77086 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 532419080448 in words is "five hundred thirty-two billion, four hundred nineteen million, eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 127 128 142 192 213 254 256 284 381 384 426 508 568 762 768 852 1016 1136 1524 1704 2032 2272 3048 3408 4064 4544 6096 6816 8128 9017 9088 12192 13632 16256 18034 18176 24384 27051 27264 32512 36068 48768 54102 54528 72136 76883 97536 108204 144272 153766 216408 230649 288544 307532 432816 461298 577088 615064 865632 922596 1154176 1230128 1731264 1845192 2308352 2460256 3462528 3690384 4920512 5458693 6925056 7380768 9764141 9841024 10917386 14761536 16376079 19528282 19682048 21834772 29292423 29523072 32752158 39056564 43669544 58584846 59046144 65504316 78113128 87339088 117169692 131008632 156226256 174678176 234339384 262017264 312452512 349356352 468678768 524034528 624905024 693254011 698712704 937357536 1048069056 1249810048 1386508022 1397425408 1874715072 2079762033 2096138112 2499620096 2773016044 3749430144 4159524066 4192276224 5546032088 7498860288 8319048132 11092064176 16638096264 22184128352 33276192528 44368256704 66552385056 88736513408 133104770112 177473026816 266209540224 532419080448