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189834386652 = 2232193110938191
BaseRepresentation
bin1011000011001100000…
…0101101110011011100
3200010222212220000120100
42300303000231303130
511102240100333102
6223113025421100
716500162443211
oct2606300556334
9603885800510
10189834386652
1173565620459
123095b19a790
1314b94227251
14928bd6bb08
154e10ca0a1c
hex2c3302dcdc

189834386652 has 144 divisors (see below), whose sum is σ = 521949675520. Its totient is φ = 57953750400.

The previous prime is 189834386647. The next prime is 189834386653. The reversal of 189834386652 is 256683438981.

It is a happy number.

189834386652 is a `hidden beast` number, since 1 + 8 + 98 + 3 + 438 + 66 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 189834386652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189834386653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23171877 + ... + 23180067.

Almost surely, 2189834386652 is an apocalyptic number.

189834386652 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 189834386652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260974837760).

189834386652 is an abundant number, since it is smaller than the sum of its proper divisors (332115288868).

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

189834386652 is a wasteful number, since it uses less digits than its factorization.

189834386652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344 (or 9339 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 189834386652 in words is "one hundred eighty-nine billion, eight hundred thirty-four million, three hundred eighty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1093 1116 1178 1767 2186 2356 3279 3534 4372 5301 6558 7068 8191 9837 10602 13116 16382 19674 20767 21204 24573 32764 33883 39348 41534 49146 62301 67766 73719 83068 98292 101649 124602 135532 147438 155629 186903 203298 249204 253921 294876 304947 311258 373806 406596 466887 507842 609894 622516 643777 747612 761763 933774 1015684 1219788 1287554 1400661 1523526 1867548 1931331 2285289 2575108 2801322 3047052 3862662 4570578 4824499 5602644 5793993 7725324 8952763 9141156 9648998 11587986 14473497 17905526 19297996 23175972 26858289 28946994 35811052 43420491 53716578 57893988 80574867 86840982 107433156 161149734 170102497 173681964 277535653 322299468 340204994 510307491 555071306 680409988 832606959 1020614982 1110142612 1530922473 1665213918 2041229964 2497820877 3061844946 3330427836 4995641754 5273177407 6123689892 9991283508 10546354814 15819532221 21092709628 31639064442 47458596663 63278128884 94917193326 189834386652