Search a number
-
+
4353541164 = 2232779379577
BaseRepresentation
bin1000000110111110…
…11100010000101100
3102020101221210202100
410003133130100230
532404001304124
61555555255100
7212612326560
oct40337342054
912211853670
104353541164
111934507a05
12a15baa490
13544c4767b
142d42a36a0
151a730d1c9
hex1037dc42c

4353541164 has 144 divisors (see below), whose sum is σ = 12791833600. Its totient is φ = 1222760448.

The previous prime is 4353541163. The next prime is 4353541183. The reversal of 4353541164 is 4611453534.

4353541164 is a `hidden beast` number, since 4 + 3 + 53 + 541 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4353541163) 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, 7544844 + ... + 7545420.

Almost surely, 24353541164 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 4353541164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395916800).

4353541164 is an abundant number, since it is smaller than the sum of its proper divisors (8438292436).

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

4353541164 is a wasteful number, since it uses less digits than its factorization.

4353541164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1047 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 4353541164 is about 65981.3698251256. The cubic root of 4353541164 is about 1632.8547416708.

Adding to 4353541164 its reverse (4611453534), we get a palindrome (8964994698).

The spelling of 4353541164 in words is "four billion, three hundred fifty-three million, five hundred forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 379 474 553 577 711 758 948 1106 1137 1154 1422 1516 1659 1731 2212 2274 2308 2653 2844 3318 3411 3462 4039 4548 4977 5193 5306 6636 6822 6924 7959 8078 9954 10386 10612 12117 13644 15918 16156 19908 20772 23877 24234 29941 31836 36351 45583 47754 48468 59882 72702 89823 91166 95508 119764 136749 145404 179646 182332 209587 218683 269469 273498 319081 359292 410247 419174 437366 538938 546996 628761 638162 656049 820494 838348 874732 957243 1077876 1257522 1276324 1312098 1530781 1640988 1886283 1914486 1968147 2515044 2624196 2871729 3061562 3772566 3828972 3936294 4592343 5743458 6123124 7545132 7872588 9184686 11486916 13777029 17275957 18369372 27554058 34551914 51827871 55108116 69103828 103655742 120931699 155483613 207311484 241863398 310967226 362795097 483726796 621934452 725590194 1088385291 1451180388 2176770582 4353541164