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1828851240192 = 28361121332183
BaseRepresentation
bin11010100111010000000…
…001110100110100000000
320110211120210021000122020
4122213100001310310000
5214430441404141232
63520055045041440
7246062432022654
oct32472001646400
96424523230566
101828851240192
1164567a935449
1225653a6b6280
131035c9616872
1464734424a64
153288c8b8e2c
hex1a9d0074d00

1828851240192 has 144 divisors (see below), whose sum is σ = 4951437337728. Its totient is φ = 599110410240.

The previous prime is 1828851240191. The next prime is 1828851240193. The reversal of 1828851240192 is 2910421588281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1828851240191) and next prime (1828851240193).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828851240191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56810533 + ... + 56842715.

It is an arithmetic number, because the mean of its divisors is an integer number (34384981512).

Almost surely, 21828851240192 is an apocalyptic number.

1828851240192 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 1828851240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475718668864).

1828851240192 is an abundant number, since it is smaller than the sum of its proper divisors (3122586097536).

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

1828851240192 is a wasteful number, since it uses less digits than its factorization.

1828851240192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33476 (or 33462 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 51.

The spelling of 1828851240192 in words is "one trillion, eight hundred twenty-eight billion, eight hundred fifty-one million, two hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1213 1464 1952 2426 2928 3639 3904 4852 5856 7278 7808 9704 11712 14556 15616 19408 23424 29112 32183 38816 46848 58224 64366 73993 77632 96549 116448 128732 147986 155264 193098 221979 232896 257464 295972 310528 386196 443958 465792 514928 591944 772392 887916 931584 1029856 1183888 1544784 1775832 1963163 2059712 2367776 3089568 3551664 3926326 4119424 4735552 5889489 6179136 7103328 7852652 8238848 9471104 11778978 12358272 14206656 15705304 18942208 23557956 24716544 28413312 31410608 39037979 47115912 56826624 62821216 78075958 94231824 117113937 125642432 156151916 188463648 234227874 251284864 312303832 376927296 468455748 502569728 624607664 753854592 936911496 1249215328 1507709184 1873822992 2381316719 2498430656 3747645984 4762633438 4996861312 7143950157 7495291968 9525266876 9993722624 14287900314 14990583936 19050533752 28575800628 29981167872 38101067504 57151601256 76202135008 114303202512 152404270016 228606405024 304808540032 457212810048 609617080064 914425620096 1828851240192