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4454452896 = 253298571867
BaseRepresentation
bin1000010011000000…
…11000111010100000
3102111102211122121220
410021200120322200
533110314443041
62014002215040
7215246140065
oct41140307240
912442748556
104454452896
111986471433
12a43954480
1355cb1a15a
14303850c6c
151b10e2d66
hex109818ea0

4454452896 has 96 divisors (see below), whose sum is σ = 12116744640. Its totient is φ = 1431177216.

The previous prime is 4454452889. The next prime is 4454452901. The reversal of 4454452896 is 6982544544.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2384955 + ... + 2386821.

It is an arithmetic number, because the mean of its divisors is an integer number (126216090).

Almost surely, 24454452896 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 4454452896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058372320).

4454452896 is an abundant number, since it is smaller than the sum of its proper divisors (7662291744).

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

4454452896 is a wasteful number, since it uses less digits than its factorization.

4454452896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2758 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 51.

The square root of 4454452896 is about 66741.6878420077. The cubic root of 4454452896 is about 1645.3746058544.

The spelling of 4454452896 in words is "four billion, four hundred fifty-four million, four hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 857 928 1392 1714 1867 2571 2784 3428 3734 5142 5601 6856 7468 10284 11202 13712 14936 20568 22404 24853 27424 29872 41136 44808 49706 54143 59744 74559 82272 89616 99412 108286 149118 162429 179232 198824 216572 298236 324858 397648 433144 596472 649716 795296 866288 1192944 1299432 1600019 1732576 2385888 2598864 3200038 4800057 5197728 6400076 9600114 12800152 19200228 25600304 38400456 46400551 51200608 76800912 92801102 139201653 153601824 185602204 278403306 371204408 556806612 742408816 1113613224 1484817632 2227226448 4454452896