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4550153216 = 21073120477
BaseRepresentation
bin1000011110011010…
…11101010000000000
3102202002220201210012
410033031131100000
533304314400331
62031301324052
7220520443550
oct41715352000
912662821705
104550153216
111a25496504
12a6ba06628
135768b686b
14312443160
151b96e882b
hex10f35d400

4550153216 has 88 divisors (see below), whose sum is σ = 10731127296. Its totient is φ = 1887068160.

The previous prime is 4550153197. The next prime is 4550153233. The reversal of 4550153216 is 6123510554.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211970 + ... + 232446.

Almost surely, 24550153216 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 4550153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365563648).

4550153216 is an abundant number, since it is smaller than the sum of its proper divisors (6180974080).

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

4550153216 is a wasteful number, since it uses less digits than its factorization.

4550153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20535 (or 20517 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 4550153216 is about 67454.8235191524. The cubic root of 4550153216 is about 1657.0743959487.

The spelling of 4550153216 in words is "four billion, five hundred fifty million, one hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 3472 3584 3968 6944 7168 7936 13888 15872 20477 27776 31744 40954 55552 81908 111104 143339 163816 222208 286678 327632 573356 634787 655264 1146712 1269574 1310528 2293424 2539148 2621056 4443509 4586848 5078296 5242112 8887018 9173696 10156592 10484224 17774036 18347392 20313184 20968448 35548072 36694784 40626368 71096144 73389568 81252736 142192288 146779136 162505472 284384576 325010944 568769152 650021888 1137538304 2275076608 4550153216