Search a number
-
+
35423033712 = 24311412576367
BaseRepresentation
bin100000111111011000…
…001001100101110000
310101102200200120002120
4200333120021211300
51040021244034322
624134554314240
72362546550523
oct407730114560
9111380616076
1035423033712
1114028419580
126a47128980
133456a6b4a1
141a00788bba
15dc4c93a5c
hex83f609970

35423033712 has 160 divisors (see below), whose sum is σ = 102677428224. Its totient is φ = 10430054400.

The previous prime is 35423033689. The next prime is 35423033713. The reversal of 35423033712 is 21733032453.

It is a super-3 number, since 3×354230337123 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35423033713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5560353 + ... + 5566719.

Almost surely, 235423033712 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 35423033712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51338714112).

35423033712 is an abundant number, since it is smaller than the sum of its proper divisors (67254394512).

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

35423033712 is a wasteful number, since it uses less digits than its factorization.

35423033712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The spelling of 35423033712 in words is "thirty-five billion, four hundred twenty-three million, thirty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 257 264 328 451 492 514 528 656 771 902 984 1028 1353 1542 1804 1968 2056 2706 2827 3084 3608 4112 5412 5654 6168 6367 7216 8481 10537 10824 11308 12336 12734 16962 19101 21074 21648 22616 25468 31611 33924 38202 42148 45232 50936 63222 67848 70037 76404 84296 101872 115907 126444 135696 140074 152808 168592 210111 231814 252888 261047 280148 305616 347721 420222 463628 505776 522094 560296 695442 783141 840444 927256 1044188 1120592 1390884 1566282 1636319 1680888 1854512 2088376 2781768 2871517 3132564 3272638 3361776 4176752 4908957 5563536 5743034 6265128 6545276 8614551 9817914 11486068 12530256 13090552 17229102 17999509 19635828 22972136 26181104 34458204 35999018 39271656 45944272 53998527 67089079 68916408 71998036 78543312 107997054 134178158 137832816 143996072 201267237 215994108 268356316 287992144 402534474 431988216 536712632 737979869 805068948 863976432 1073425264 1475959738 1610137896 2213939607 2951919476 3220275792 4427879214 5903838952 8855758428 11807677904 17711516856 35423033712