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189351073184 = 25721382311287
BaseRepresentation
bin1011000001011000110…
…1000001010110100000
3200002202012110011010112
42300112031001112200
511100242333320214
6222553042350452
716452203365100
oct2602615012640
9602665404115
10189351073184
1173337820939
123084535b428
1314b18065350
149243abb200
154dd3631a3e
hex2c163415a0

189351073184 has 144 divisors (see below), whose sum is σ = 467614159488. Its totient is φ = 74810469888.

The previous prime is 189351073151. The next prime is 189351073189. The reversal of 189351073184 is 481370153981.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (189351073189) 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, 16770389 + ... + 16781675.

It is an arithmetic number, because the mean of its divisors is an integer number (3247320552).

Almost surely, 2189351073184 is an apocalyptic number.

189351073184 is a gapful number since it is divisible by the number (14) 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 189351073184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233807079744).

189351073184 is an abundant number, since it is smaller than the sum of its proper divisors (278263086304).

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

189351073184 is a wasteful number, since it uses less digits than its factorization.

189351073184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12147 (or 12132 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 189351073184 in words is "one hundred eighty-nine billion, three hundred fifty-one million, seventy-three thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 823 1274 1456 1568 1646 2548 2912 3292 5096 5761 6584 10192 10699 11287 11522 13168 20384 21398 22574 23044 26336 40327 42796 45148 46088 74893 79009 80654 85592 90296 92176 146731 149786 158018 161308 171184 180592 184352 293462 299572 316036 322616 342368 361184 524251 553063 586924 599144 632072 645232 1027117 1048502 1106126 1173848 1198288 1264144 1290464 2054234 2097004 2212252 2347696 2396576 2528288 4108468 4194008 4424504 4695392 7189819 8216936 8388016 8849008 9289201 14379638 16433872 16776032 17698016 18578402 28759276 32867744 37156804 57518552 65024407 74313608 115037104 120759613 130048814 148627216 230074208 241519226 260097628 297254432 455170849 483038452 520195256 845317291 910341698 966076904 1040390512 1690634582 1820683396 1932153808 2080781024 3381269164 3641366792 3864307616 5917221037 6762538328 7282733584 11834442074 13525076656 14565467168 23668884148 27050153312 47337768296 94675536592 189351073184