Search a number
-
+
10073831176368 = 243513811876181
BaseRepresentation
bin1001001010010111111100…
…1000001111100010110000
31022200001022121121121200000
42102211333020033202300
52310022201240120433
633231504255230000
72056544633111331
oct222457710174260
938601277547600
1010073831176368
113234319090653
121168461818300
13580c5c23482b
1426b80c8b0288
1512709ba7c113
hex9297f20f8b0

10073831176368 has 120 divisors (see below), whose sum is σ = 29258097684816. Its totient is φ = 3355510406400.

The previous prime is 10073831176327. The next prime is 10073831176369. The reversal of 10073831176368 is 86367113837001.

10073831176368 is a `hidden beast` number, since 10 + 0 + 73 + 8 + 31 + 176 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10073831176369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4431238 + ... + 6307418.

Almost surely, 210073831176368 is an apocalyptic number.

10073831176368 is a gapful number since it is divisible by the number (18) 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 10073831176368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629048842408).

10073831176368 is an abundant number, since it is smaller than the sum of its proper divisors (19184266508448).

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

10073831176368 is a wasteful number, since it uses less digits than its factorization.

10073831176368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877585 (or 1877567 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10073831176368 in words is "ten trillion, seventy-three billion, eight hundred thirty-one million, one hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1381 1944 2762 3888 4143 5524 8286 11048 12429 16572 22096 24858 33144 37287 49716 66288 74574 99432 111861 149148 198864 223722 298296 335583 447444 596592 671166 894888 1342332 1789776 1876181 2684664 3752362 5369328 5628543 7504724 11257086 15009448 16885629 22514172 30018896 33771258 45028344 50656887 67542516 90056688 101313774 135085032 151970661 202627548 270170064 303941322 405255096 455911983 607882644 810510192 911823966 1215765288 1823647932 2431530576 2591005961 3647295864 5182011922 7294591728 7773017883 10364023844 15546035766 20728047688 23319053649 31092071532 41456095376 46638107298 62184143064 69957160947 93276214596 124368286128 139914321894 186552429192 209871482841 279828643788 373104858384 419742965682 559657287576 629614448523 839485931364 1119314575152 1259228897046 1678971862728 2518457794092 3357943725456 5036915588184 10073831176368