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2327581380780 = 22325412331353607
BaseRepresentation
bin100001110111101110101…
…010010101000010101100
322020111220011000012020200
4201313232222111002230
5301113341313141110
64541135350513500
7330106431204315
oct41675652250254
98214804005220
102327581380780
11818138011757
12317126365890
1313b64a650626
1480926b3160c
154082bcb26c0
hex21deea950ac

2327581380780 has 144 divisors (see below), whose sum is σ = 7263579645504. Its totient is φ = 602950256640.

The previous prime is 2327581380737. The next prime is 2327581380829. The reversal of 2327581380780 is 870831857232.

2327581380780 is a `hidden beast` number, since 2 + 3 + 27 + 581 + 38 + 0 + 7 + 8 + 0 = 666.

2327581380780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042737 + ... + 2396343.

It is an arithmetic number, because the mean of its divisors is an integer number (50441525316).

Almost surely, 22327581380780 is an apocalyptic number.

2327581380780 is a gapful number since it is divisible by the number (20) 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 2327581380780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631789822752).

2327581380780 is an abundant number, since it is smaller than the sum of its proper divisors (4935998264724).

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

2327581380780 is a wasteful number, since it uses less digits than its factorization.

2327581380780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353896 (or 1353891 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 2327581380780 in words is "two trillion, three hundred twenty-seven billion, five hundred eighty-one million, three hundred eighty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 233 246 369 410 466 492 615 699 738 820 932 1165 1230 1398 1476 1845 2097 2330 2460 2796 3495 3690 4194 4660 6990 7380 8388 9553 10485 13980 19106 20970 28659 38212 41940 47765 57318 85977 95530 114636 143295 171954 191060 286590 343908 429885 573180 859770 1353607 1719540 2707214 4060821 5414428 6768035 8121642 12182463 13536070 16243284 20304105 24364926 27072140 40608210 48729852 55497887 60912315 81216420 110995774 121824630 166493661 221991548 243649260 277489435 315390431 332987322 499480983 554978870 630780862 665974644 832468305 946171293 998961966 1109957740 1261561724 1576952155 1664936610 1892342586 1997923932 2497404915 2838513879 3153904310 3329873220 3784685172 4730856465 4994809830 5677027758 6307808620 9461712930 9989619660 11354055516 12931007671 14192569395 18923425860 25862015342 28385138790 38793023013 51724030684 56770277580 64655038355 77586046026 116379069039 129310076710 155172092052 193965115065 232758138078 258620153420 387930230130 465516276156 581895345195 775860460260 1163790690390 2327581380780