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20435103335514 = 23723211325130839
BaseRepresentation
bin1001010010101111010110…
…00100110100010001011010
32200100120120111011002021010
410221113223010310101122
510134302042423214024
6111243431252354350
74206246624242640
oct451275304642132
980316514132233
1020435103335514
11656952a0aaa1a
1223605629159b6
13b5303938680a
145090c8549190
1525686d422b29
hex1295eb13445a

20435103335514 has 128 divisors (see below), whose sum is σ = 48987270512640. Its totient is φ = 5556390840000.

The previous prime is 20435103335483. The next prime is 20435103335531. The reversal of 20435103335514 is 41553330153402.

It is a Curzon 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, 662622907 + ... + 662653745.

It is an arithmetic number, because the mean of its divisors is an integer number (382713050880).

Almost surely, 220435103335514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20435103335514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24493635256320).

20435103335514 is an abundant number, since it is smaller than the sum of its proper divisors (28552167177126).

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

20435103335514 is a wasteful number, since it uses less digits than its factorization.

20435103335514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34336.

The product of its (nonzero) digits is 324000, while the sum is 39.

Adding to 20435103335514 its reverse (41553330153402), we get a palindrome (61988433488916).

The spelling of 20435103335514 in words is "twenty trillion, four hundred thirty-five billion, one hundred three million, three hundred thirty-five thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 211 322 422 483 633 966 1266 1477 2954 3251 4431 4853 6502 8862 9706 9753 14559 19506 22757 29118 30839 33971 45514 61678 67942 68271 74773 92517 101913 136542 149546 185034 203826 215873 224319 431746 448638 523411 647619 685961 709297 1046822 1295238 1371922 1418594 1570233 2057883 2127891 3140466 4115766 4255782 4801727 4965079 6507029 9603454 9930158 13014058 14405181 14895237 15777103 19521087 28810362 29790474 31554206 39042174 45549203 47331309 91098406 94662618 100257589 110439721 136647609 149661667 200515178 220879442 273295218 299323334 300772767 331319163 448985001 601545534 662638326 701803123 897970002 1047631669 1403606246 2095263338 2105409369 2305924547 3142895007 4210818738 4611849094 6285790014 6917773641 13835547282 16141471829 21154351279 32282943658 42308702558 48424415487 63463053837 96848830974 126926107674 148080458953 296160917906 444241376859 486550079417 888482753718 973100158834 1459650238251 2919300476502 3405850555919 6811701111838 10217551667757 20435103335514