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189757128840 = 233547115129231
BaseRepresentation
bin1011000010111001101…
…0000000000010001000
3200010210111111220202220
42300232122000002020
511102110311110330
6223101225454040
716465233660606
oct2605632000210
9603714456686
10189757128840
1173525a52524
1230939341320
1314b81217076
1492819ba876
154e090de710
hex2c2e680088

189757128840 has 128 divisors (see below), whose sum is σ = 581908561920. Its totient is φ = 49480544000.

The previous prime is 189757128839. The next prime is 189757128863. The reversal of 189757128840 is 48821757981.

189757128840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6477025 + ... + 6506255.

It is an arithmetic number, because the mean of its divisors is an integer number (4546160640).

Almost surely, 2189757128840 is an apocalyptic number.

189757128840 is a gapful number since it is divisible by the number (10) 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 189757128840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290954280960).

189757128840 is an abundant number, since it is smaller than the sum of its proper divisors (392151433080).

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

189757128840 is a wasteful number, since it uses less digits than its factorization.

189757128840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30443 (or 30439 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 60.

The spelling of 189757128840 in words is "one hundred eighty-nine billion, seven hundred fifty-seven million, one hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1151 1410 1880 2302 2820 3453 4604 5640 5755 6906 9208 11510 13812 17265 23020 27624 29231 34530 46040 54097 58462 69060 87693 108194 116924 138120 146155 162291 175386 216388 233848 270485 292310 324582 350772 432776 438465 540970 584620 649164 701544 811455 876930 1081940 1169240 1298328 1373857 1622910 1753860 2163880 2747714 3245820 3507720 4121571 5495428 6491640 6869285 8243142 10990856 13738570 16486284 20607855 27477140 32972568 33644881 41215710 54954280 67289762 82431420 100934643 134579524 164862840 168224405 201869286 269159048 336448810 403738572 504673215 672897620 807477144 1009346430 1345795240 1581309407 2018692860 3162618814 4037385720 4743928221 6325237628 7906547035 9487856442 12650475256 15813094070 18975712884 23719641105 31626188140 37951425768 47439282210 63252376280 94878564420 189757128840