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1146209001320 = 235474289142151
BaseRepresentation
bin10000101011011111011…
…000010101111101101000
311001120120021110020211002
4100223133120111331220
5122234414001020240
62234321112454132
7145545061521005
oct20533730257550
94046507406732
101146209001320
11402117110689
121661870aa348
13841193129c6
143d69652a8ac
151ec37606d15
hex10adf615f68

1146209001320 has 64 divisors (see below), whose sum is σ = 2634474585600. Its totient is φ = 448620851200.

The previous prime is 1146209001313. The next prime is 1146209001359. The reversal of 1146209001320 is 231009026411.

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, 7992245 + ... + 8134395.

It is an arithmetic number, because the mean of its divisors is an integer number (41163665400).

Almost surely, 21146209001320 is an apocalyptic number.

1146209001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146209001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317237292800).

1146209001320 is an abundant number, since it is smaller than the sum of its proper divisors (1488265584280).

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

1146209001320 is a wasteful number, since it uses less digits than its factorization.

1146209001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146498 (or 146494 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 1146209001320 in words is "one trillion, one hundred forty-six billion, two hundred nine million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 4289 8578 17156 21445 34312 42890 85780 142151 171560 201583 284302 403166 568604 710755 806332 1007915 1137208 1421510 1612664 2015830 2843020 4031660 5686040 6681097 8063320 13362194 26724388 33405485 53448776 66810970 133621940 267243880 609685639 1219371278 2438742556 3048428195 4877485112 6096856390 12193712780 24387425560 28655225033 57310450066 114620900132 143276125165 229241800264 286552250330 573104500660 1146209001320