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30257684240888 = 231310111337967261
BaseRepresentation
bin1101110000100111010101…
…00001010101100111111000
310222010121101001001111102202
412320103222201111213320
512431220214131202023
6144204104354445332
76242021423322506
oct670235241254770
9128117331044382
1030257684240888
119706236a35205
123488185293848
1313b63974b6430
147686a054d676
1537711251a128
hex1b84ea8559f8

30257684240888 has 128 divisors (see below), whose sum is σ = 62413378372800. Its totient is φ = 13668092928000.

The previous prime is 30257684240879. The next prime is 30257684240923. The reversal of 30257684240888 is 88804248675203.

It is a super-2 number, since 2×302576842408882 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449821178 + ... + 449888438.

Almost surely, 230257684240888 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 30257684240888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31206689186400).

30257684240888 is an abundant number, since it is smaller than the sum of its proper divisors (32155694131912).

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

30257684240888 is a wasteful number, since it uses less digits than its factorization.

30257684240888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67873 (or 67869 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 65.

The spelling of 30257684240888 in words is "thirty trillion, two hundred fifty-seven billion, six hundred eighty-four million, two hundred forty thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 26 52 101 104 113 202 226 379 404 452 758 808 904 1313 1469 1516 2626 2938 3032 4927 5252 5876 9854 10504 11413 11752 19708 22826 38279 39416 42827 45652 67261 76558 85654 91304 134522 148369 153116 171308 269044 296738 306232 342616 497627 538088 556751 593476 874393 995254 1113502 1186952 1748786 1990508 2227004 3497572 3981016 4325527 4454008 6793361 6995144 7600493 8651054 13586722 15200986 17302108 25491919 27173444 30401972 34604216 50983838 54346888 56231851 60803944 88313693 98806409 101967676 112463702 176627386 197612818 203935352 224927404 331394947 353254772 395225636 449854808 662789894 706509544 767649793 790451272 1325579788 1535299586 2574683819 2651159576 2880586847 3070599172 5149367638 5761173694 6141198344 9979447309 10298735276 11522347388 19958894618 20597470552 23044694776 33470889647 37447629011 39917789236 66941779294 74895258022 79835578472 133883558588 149790516044 267767117176 290939271547 299581032088 581878543094 1163757086188 2327514172376 3782210530111 7564421060222 15128842120444 30257684240888