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258669288972 = 223431197130729
BaseRepresentation
bin1111000011100111100…
…1000001111000001100
3220201200002220100220000
43300321321001320030
513214223314221342
6314455300324300
724455031451503
oct3607171017014
9821602810800
10258669288972
119a779085386
124216b9a3690
131b51417a893
14c73bd3b83a
156adde6c44c
hex3c39e41e0c

258669288972 has 120 divisors (see below), whose sum is σ = 701574572160. Its totient is φ = 83017509120.

The previous prime is 258669288947. The next prime is 258669288989. The reversal of 258669288972 is 279882966852.

258669288972 is a `hidden beast` number, since 258 + 6 + 6 + 9 + 288 + 97 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 258669288972.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1913304 + ... + 2044032.

It is an arithmetic number, because the mean of its divisors is an integer number (5846454768).

Almost surely, 2258669288972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258669288972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350787286080).

258669288972 is an abundant number, since it is smaller than the sum of its proper divisors (442905283188).

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

258669288972 is a wasteful number, since it uses less digits than its factorization.

258669288972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130973 (or 130962 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 258669288972 in words is "two hundred fifty-eight billion, six hundred sixty-nine million, two hundred eighty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 197 279 324 372 394 558 591 788 837 1116 1182 1674 1773 2364 2511 3348 3546 5022 5319 6107 7092 10044 10638 12214 15957 18321 21276 24428 31914 36642 54963 63828 73284 109926 130729 164889 219852 261458 329778 392187 494667 522916 659556 784374 989334 1176561 1568748 1978668 2353122 3529683 4052599 4706244 7059366 8105198 10589049 12157797 14118732 16210396 21178098 24315594 25753613 36473391 42356196 48631188 51507226 72946782 77260839 103014452 109420173 145893564 154521678 218840346 231782517 309043356 328260519 437680692 463565034 656521038 695347551 798362003 927130068 1313042076 1390695102 1596724006 2086042653 2395086009 2781390204 3193448012 4172085306 4790172018 7185258027 8344170612 9580344036 14370516054 21555774081 28741032108 43111548162 64667322243 86223096324 129334644486 258669288972