Search a number
-
+
1078150555248 = 243137182329569
BaseRepresentation
bin11111011000001101100…
…01111110011001110000
310211001220011110222020020
433230012301332121300
5120131023020231443
62143143500043440
7140615401340304
oct17540661763160
93731804428206
101078150555248
11386271976838
12154b52533580
137a8911bab40
143a27b717d04
151d0a26b1583
hexfb06c7e670

1078150555248 has 160 divisors (see below), whose sum is σ = 3045515074560. Its totient is φ = 326657802240.

The previous prime is 1078150555217. The next prime is 1078150555253. The reversal of 1078150555248 is 8425550518701.

It is a self number, because there is not a number n which added to its sum of digits gives 1078150555248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36447408 + ... + 36476976.

It is an arithmetic number, because the mean of its divisors is an integer number (19034469216).

Almost surely, 21078150555248 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 1078150555248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522757537280).

1078150555248 is an abundant number, since it is smaller than the sum of its proper divisors (1967364519312).

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

1078150555248 is a wasteful number, since it uses less digits than its factorization.

1078150555248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30487 (or 30481 counting only the distinct ones).

The product of its (nonzero) digits is 2240000, while the sum is 51.

The spelling of 1078150555248 in words is "one trillion, seventy-eight billion, one hundred fifty million, five hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 823 852 923 1136 1646 1704 1846 2469 2769 3292 3408 3692 4938 5538 6584 7384 9876 10699 11076 13168 14768 19752 21398 22152 29569 32097 39504 42796 44304 58433 59138 64194 85592 88707 116866 118276 128388 171184 175299 177414 233732 236552 256776 350598 354828 384397 467464 473104 513552 701196 709656 759629 768794 934928 1153191 1402392 1419312 1519258 1537588 2099399 2278887 2306382 2804784 3038516 3075176 4198798 4557774 4612764 6077032 6150352 6298197 8397596 9115548 9225528 12154064 12596394 16795192 18231096 18451056 24335287 25192788 27292187 33590384 36462192 48670574 50385576 54584374 73005861 81876561 97341148 100771152 109168748 146011722 163753122 194682296 218337496 292023444 316358731 327506244 389364592 436674992 584046888 632717462 655012488 949076193 1168093776 1265434924 1310024976 1727805377 1898152386 2530869848 3455610754 3796304772 5061739696 5183416131 6911221508 7592609544 10366832262 13822443016 15185219088 20733664524 22461469901 27644886032 41467329048 44922939802 67384409703 82934658096 89845879604 134768819406 179691759208 269537638812 359383518416 539075277624 1078150555248