Search a number
-
+
2078785027890 = 234519229358907
BaseRepresentation
bin11110010000000001001…
…111100011111100110010
321100201201002202221120000
4132100001033203330302
5233024322431343030
64230551453330430
7303121142122644
oct36200117437462
97321632687500
102078785027890
11731675a5538a
12296a70a96a16
1312104aa61c7c
147288411c894
15391199a4860
hex1e4013e3f32

2078785027890 has 160 divisors (see below), whose sum is σ = 5886478509120. Its totient is φ = 524928802176.

The previous prime is 2078785027877. The next prime is 2078785027967. The reversal of 2078785027890 is 987205878702.

2078785027890 is a `hidden beast` number, since 207 + 8 + 78 + 5 + 0 + 278 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35259817 + ... + 35318723.

It is an arithmetic number, because the mean of its divisors is an integer number (36790490682).

Almost surely, 22078785027890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078785027890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943239254560).

2078785027890 is an abundant number, since it is smaller than the sum of its proper divisors (3807693481230).

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

2078785027890 is a wasteful number, since it uses less digits than its factorization.

2078785027890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61238 (or 61229 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 2078785027890 in words is "two trillion, seventy-eight billion, seven hundred eighty-five million, twenty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2293 2565 3078 4586 5130 6879 7695 11465 13758 15390 20637 22930 34395 41274 43567 58907 61911 68790 87134 103185 117814 123822 130701 176721 185733 206370 217835 261402 294535 309555 353442 371466 392103 435670 530163 589070 619110 653505 784206 883605 928665 1060326 1119233 1176309 1307010 1590489 1767210 1857330 1960515 2238466 2352618 2650815 3180978 3357699 3528927 3921030 4771467 5301630 5596165 5881545 6715398 7057854 7952445 9542934 10073097 11192330 11763090 15904890 16788495 17644635 20146194 23857335 30219291 33576990 35289270 47714670 50365485 60438582 90657873 100730970 135073751 151096455 181315746 270147502 302192910 405221253 453289365 675368755 810442506 906578730 1215663759 1350737510 2026106265 2431327518 2566401269 3646991277 4052212530 5132802538 6078318795 7293982554 7699203807 10940973831 12156637590 12832006345 15398407614 18234956385 21881947662 23097611421 25664012690 36469912770 38496019035 46195222842 54704869155 69292834263 76992038070 109409738310 115488057105 138585668526 207878502789 230976114210 346464171315 415757005578 692928342630 1039392513945 2078785027890