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29999002590 = 2335417934303
BaseRepresentation
bin11011111100000101…
…000111001111011110
32212102200102020012000
4123330011013033132
5442414221040330
621440434423130
72111255212644
oct337405071736
985380366160
1029999002590
11117a4722727
125992731aa6
132aa110610b
141648269194
15ba89cd560
hex6fc1473de

29999002590 has 128 divisors (see below), whose sum is σ = 82988236800. Its totient is φ = 7705601280.

The previous prime is 29999002577. The next prime is 29999002619. The reversal of 29999002590 is 9520099992.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 857379 + ... + 891681.

It is an arithmetic number, because the mean of its divisors is an integer number (648345600).

Almost surely, 229999002590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29999002590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41494118400).

29999002590 is an abundant number, since it is smaller than the sum of its proper divisors (52989234210).

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

29999002590 is a wasteful number, since it uses less digits than its factorization.

29999002590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34439 (or 34433 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 29999002590 in words is "twenty-nine billion, nine hundred ninety-nine million, two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 79 82 90 123 135 158 205 237 246 270 369 395 410 474 615 711 738 790 1107 1185 1230 1422 1845 2133 2214 2370 3239 3555 3690 4266 5535 6478 7110 9717 10665 11070 16195 19434 21330 29151 32390 34303 48585 58302 68606 87453 97170 102909 145755 171515 174906 205818 291510 308727 343030 437265 514545 617454 874530 926181 1029090 1406423 1543635 1852362 2709937 2812846 3087270 4219269 4630905 5419874 7032115 8129811 8438538 9261810 12657807 13549685 14064230 16259622 21096345 24389433 25315614 27099370 37973421 40649055 42192690 48778866 63289035 73168299 75946842 81298110 111107417 121947165 126578070 146336598 189867105 222214834 243894330 333322251 365841495 379734210 555537085 666644502 731682990 999966753 1111074170 1666611255 1999933506 2999900259 3333222510 4999833765 5999800518 9999667530 14999501295 29999002590