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1890728434917 = 347174316572753
BaseRepresentation
bin11011100000111000001…
…100100101110011100101
320200202022010010012110000
4123200320030211303211
5221434202434404132
64004331052051513
7253413004345410
oct33407014456345
96622263105400
101890728434917
11669942a01703
12266529163b99
131093aac5135a
1467724326b77
15342aed2287c
hex1b838325ce5

1890728434917 has 160 divisors (see below), whose sum is σ = 3500652494592. Its totient is φ = 992254427136.

The previous prime is 1890728434909. The next prime is 1890728434943. The reversal of 1890728434917 is 7194348270981.

1890728434917 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 7 + 284 + 349 + 1 + 7 = 666.

It is not a de Polignac number, because 1890728434917 - 23 = 1890728434909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890728434957) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 686787013 + ... + 686789765.

Almost surely, 21890728434917 is an apocalyptic number.

1890728434917 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1890728434917 is a deficient number, since it is larger than the sum of its proper divisors (1609924059675).

1890728434917 is a wasteful number, since it uses less digits than its factorization.

1890728434917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1890728434917 in words is "one trillion, eight hundred ninety billion, seven hundred twenty-eight million, four hundred thirty-four thousand, nine hundred seventeen".

Divisors: 1 3 7 9 17 21 27 43 51 63 81 119 129 153 189 301 357 387 459 567 731 903 1071 1161 1377 1657 2193 2709 2753 3213 3483 4971 5117 6579 8127 8259 9639 11599 14913 15351 19271 19737 24381 24777 28169 34797 44739 46053 46801 57813 59211 71251 74331 84507 104391 118379 134217 138159 140403 173439 197183 213753 222993 253521 313173 327607 355137 414477 421209 498757 520317 591549 641259 760563 828653 939519 982821 1065411 1211267 1263627 1496271 1560951 1774647 1923777 2012443 2281689 2485959 2948463 3196233 3633801 3790881 4488813 4561721 5323941 5771331 6037329 7457877 8478869 8845389 9588699 10901403 13466439 13685163 14087101 15971823 18111987 22373631 25436607 26536167 31932047 32704209 40399317 41055489 42261303 54335961 67120893 76309821 77549257 95796141 98112627 123166467 126783909 163007883 196154003 228929463 232647771 287388423 369499401 380351727 542844799 588462009 686788389 697943313 862165269 1141055181 1373078021 1628534397 1765386027 2093829939 2586495807 3334618051 4119234063 4885603191 5296158081 6281489817 10003854153 12357702189 14656809573 15888474243 23342326357 30011562459 37073106567 43970428719 70026979071 90034687377 111219319701 210080937213 270104062131 630242811639 1890728434917