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35421325434 = 23411194722259
BaseRepresentation
bin100000111111010001…
…101000100001111010
310101102120110202210000
4200333101220201322
51040020324403214
624134453533430
72362526204235
oct407721504172
9111376422700
1035421325434
1114027462080
126a46644276
1334565c0a81
141a0046241c
15dc4a57809
hex83f46887a

35421325434 has 160 divisors (see below), whose sum is σ = 93085977600. Its totient is φ = 9951996960.

The previous prime is 35421325427. The next prime is 35421325463. The reversal of 35421325434 is 43452312453.

35421325434 is a `hidden beast` number, since 3 + 5 + 4 + 213 + 2 + 5 + 434 = 666.

It is a super-3 number, since 3×354213254343 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1580197 + ... + 1602455.

It is an arithmetic number, because the mean of its divisors is an integer number (581787360).

Almost surely, 235421325434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35421325434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46542988800).

35421325434 is an abundant number, since it is smaller than the sum of its proper divisors (57664652166).

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

35421325434 is a wasteful number, since it uses less digits than its factorization.

35421325434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22350 (or 22341 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 35421325434 its reverse (43452312453), we get a palindrome (78873637887).

The spelling of 35421325434 in words is "thirty-five billion, four hundred twenty-one million, three hundred twenty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 47 54 57 66 81 94 99 114 141 162 171 198 209 282 297 342 418 423 513 517 594 627 846 891 893 1026 1034 1254 1269 1539 1551 1782 1786 1881 2538 2679 3078 3102 3762 3807 4653 5358 5643 7614 8037 9306 9823 11286 13959 16074 16929 19646 22259 24111 27918 29469 33858 41877 44518 48222 58938 66777 72333 83754 88407 133554 144666 176814 200331 244849 265221 400662 422921 489698 530442 600993 734547 795663 845842 1046173 1201986 1268763 1469094 1591326 1802979 2092346 2203641 2537526 3138519 3605958 3806289 4407282 4652131 6277038 6610923 7612578 9304262 9415557 11418867 11507903 13221846 13956393 18831114 19832769 19877287 22837734 23015806 27912786 28246671 34256601 34523709 39665538 39754574 41869179 56493342 59631861 68513202 69047418 83738358 84740013 103571127 119263722 125607537 169480026 178895583 207142254 218650157 251215074 310713381 357791166 376822611 437300314 536686749 621426762 655950471 753645222 932140143 1073373498 1311900942 1610060247 1864280286 1967851413 3220120494 3935702826 5903554239 11807108478 17710662717 35421325434