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19141956847992 = 23311293757326903
BaseRepresentation
bin1000101101000110101011…
…00010011100100101111000
32111202221201212220010201110
410112203111202130211320
510002110211423113432
6104413405451320320
74013650351410216
oct426432542344570
974687655803643
1019141956847992
11611007067a130
122191a0a7500a0
13a8b104126104
144a26932a7cb6
15232dd602cdcc
hex1168d589c978

19141956847992 has 128 divisors (see below), whose sum is σ = 52452871349760. Its totient is φ = 5773141624320.

The previous prime is 19141956847991. The next prime is 19141956848041. The reversal of 19141956847992 is 29974865914191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19141956847991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58392013 + ... + 58718915.

It is an arithmetic number, because the mean of its divisors is an integer number (409788057420).

Almost surely, 219141956847992 is an apocalyptic number.

19141956847992 is a gapful number since it is divisible by the number (12) 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 19141956847992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26226435674880).

19141956847992 is an abundant number, since it is smaller than the sum of its proper divisors (33310914501768).

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

19141956847992 is a wasteful number, since it uses less digits than its factorization.

19141956847992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327973 (or 327969 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 75.

The spelling of 19141956847992 in words is "nineteen trillion, one hundred forty-one billion, nine hundred fifty-six million, eight hundred forty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 293 586 757 879 1172 1514 1758 2271 2344 3028 3223 3516 4542 6056 6446 7032 8327 9084 9669 12892 16654 18168 19338 24981 25784 33308 38676 49962 66616 77352 99924 199848 221801 326903 443602 653806 665403 887204 980709 1307612 1330806 1774408 1961418 2439811 2615224 2661612 3595933 3922836 4879622 5323224 7191866 7319433 7845672 9759244 10787799 14383732 14638866 19518488 21575598 28767464 29277732 43151196 58555464 86302392 95782579 191565158 247465571 287347737 383130316 494931142 574695474 742396713 766260632 989862284 1053608369 1149390948 1484793426 1979724568 2107216738 2298781896 2722121281 2969586852 3160825107 4214433476 5444242562 5939173704 6321650214 8166363843 8428866952 10888485124 12643300428 16332727686 21776970248 25286600856 32665455372 65330910744 72507412303 145014824606 217522236909 290029649212 435044473818 580059298424 797581535333 870088947636 1595163070666 1740177895272 2392744605999 3190326141332 4785489211998 6380652282664 9570978423996 19141956847992