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1070585990000 = 2454611755059
BaseRepresentation
bin11111001010000111110…
…01011100101101110000
310210100100222102020111222
433211003321130231300
5120020030003140000
62135453113124212
7140230055524232
oct17450371345560
93710328366458
101070585990000
1138303a976a1a
121535a10b9668
1379c56c44c27
1439b60bda252
151ccad528a85
hexf943e5cb70

1070585990000 has 100 divisors (see below), whose sum is σ = 2634488974920. Its totient is φ = 421213920000.

The previous prime is 1070585989999. The next prime is 1070585990003. The reversal of 1070585990000 is 995850701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10705859900002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070585990003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 267530 + ... + 1487529.

Almost surely, 21070585990000 is an apocalyptic number.

1070585990000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070585990000 is an abundant number, since it is smaller than the sum of its proper divisors (1563902984920).

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

1070585990000 is an equidigital number, since it uses as much as digits as its factorization.

1070585990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755148 (or 1755127 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 44.

The spelling of 1070585990000 in words is "one trillion, seventy billion, five hundred eighty-five million, nine hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 625 976 1000 1220 1250 1525 2000 2440 2500 3050 4880 5000 6100 7625 10000 12200 15250 24400 30500 38125 61000 76250 122000 152500 305000 610000 1755059 3510118 7020236 8775295 14040472 17550590 28080944 35101180 43876475 70202360 87752950 107058599 140404720 175505900 214117198 219382375 351011800 428234396 438764750 535292995 702023600 856468792 877529500 1070585990 1096911875 1712937584 1755059000 2141171980 2193823750 2676464975 3510118000 4282343960 4387647500 5352929950 8564687920 8775295000 10705859900 13382324875 17550590000 21411719800 26764649750 42823439600 53529299500 66911624375 107058599000 133823248750 214117198000 267646497500 535292995000 1070585990000