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434818725990 = 235112607197339
BaseRepresentation
bin1100101001111010011…
…01110011100001100110
31112120100021010220201220
412110331031303201212
524111002043212430
6531430350201210
743262133121455
oct6247515634146
91476307126656
10434818725990
11158450920600
127032bab3206
133200713329c
141708c5a2b9c
15b49d5bd110
hex653d373866

434818725990 has 96 divisors (see below), whose sum is σ = 1148954526720. Its totient is φ = 105236408640.

The previous prime is 434818725949. The next prime is 434818725997. The reversal of 434818725990 is 99527818434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434818725997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2104741 + ... + 2302079.

It is an arithmetic number, because the mean of its divisors is an integer number (11968276320).

Almost surely, 2434818725990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434818725990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574477263360).

434818725990 is an abundant number, since it is smaller than the sum of its proper divisors (714135800730).

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

434818725990 is a wasteful number, since it uses less digits than its factorization.

434818725990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197978 (or 197967 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 434818725990 in words is "four hundred thirty-four billion, eight hundred eighteen million, seven hundred twenty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 607 726 1210 1214 1815 1821 3035 3630 3642 6070 6677 9105 13354 18210 20031 33385 40062 66770 73447 100155 146894 197339 200310 220341 367235 394678 440682 592017 734470 986695 1101705 1184034 1973390 2170729 2203410 2960085 4341458 5920170 6512187 10853645 13024374 21707290 23878019 32560935 47756038 65121870 71634057 119390095 119784773 143268114 238780190 239569546 358170285 359354319 598923865 716340570 718708638 1197847730 1317632503 1796771595 2635265006 3593543190 3952897509 6588162515 7905795018 13176325030 14493957533 19764487545 28987915066 39528975090 43481872599 72469787665 86963745198 144939575330 217409362995 434818725990