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1090620971584 = 2631242112
BaseRepresentation
bin11111101111011100001…
…00110101101001000000
310212021002020202202110221
433313232010311221000
5120332042432042314
62153005132232424
7141536414205244
oct17675604655100
93767066682427
101090620971584
11390591119141
1215745290b714
137baca94a111
143ab019ca424
151d5823a4824
hexfdee135a40

1090620971584 has 63 divisors (see below), whose sum is σ = 2236797135363. Its totient is φ = 527594505600.

The previous prime is 1090620971579. The next prime is 1090620971633. The reversal of 1090620971584 is 4851790260901.

The square root of 1090620971584 is 1044328.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 258991239 + ... + 258995449.

Almost surely, 21090620971584 is an apocalyptic number.

1090620971584 is the 1044328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090620971584

1090620971584 is an abundant number, since it is smaller than the sum of its proper divisors (1146176163779).

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

1090620971584 is an frugal number, since it uses more digits than its factorization.

1090620971584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 1090620971584 in words is "one trillion, ninety billion, six hundred twenty million, nine hundred seventy-one thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 4211 7688 8422 15376 16844 30752 33688 61504 67376 130541 134752 261082 269504 522164 1044328 2088656 4046771 4177312 8093542 8354624 16187084 17732521 32374168 35465042 64748336 70930084 129496672 141860168 258993344 283720336 549708151 567440672 1099416302 1134881344 2198832604 4397665208 8795330416 17040952681 17590660832 34081905362 35181321664 68163810724 136327621448 272655242896 545310485792 1090620971584