Search a number
-
+
43214532552 = 233210716733589
BaseRepresentation
bin101000001111110010…
…010110111111001000
311010112200202201011200
4220033302112333020
51202000410020202
631504045224200
73056616315552
oct501762267710
9133480681150
1043214532552
1117366527a14
128460562060
1340c903ba29
14213d49a4d2
1511cdd05e1c
hexa0fc96fc8

43214532552 has 96 divisors (see below), whose sum is σ = 118844107200. Its totient is φ = 14184346752.

The previous prime is 43214532511. The next prime is 43214532563. The reversal of 43214532552 is 25523541234.

43214532552 is a `hidden beast` number, since 4 + 32 + 1 + 45 + 32 + 552 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1269774 + ... + 1303362.

It is an arithmetic number, because the mean of its divisors is an integer number (1237959450).

Almost surely, 243214532552 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 43214532552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59422053600).

43214532552 is an abundant number, since it is smaller than the sum of its proper divisors (75629574648).

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

43214532552 is a wasteful number, since it uses less digits than its factorization.

43214532552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33875 (or 33868 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 43214532552 in words is "forty-three billion, two hundred fourteen million, five hundred thirty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 167 214 321 334 428 501 642 668 856 963 1002 1284 1336 1503 1926 2004 2568 3006 3852 4008 6012 7704 12024 17869 33589 35738 53607 67178 71476 100767 107214 134356 142952 160821 201534 214428 268712 302301 321642 403068 428856 604602 643284 806136 1209204 1286568 2418408 3594023 5609363 7188046 10782069 11218726 14376092 16828089 21564138 22437452 28752184 32346207 33656178 43128276 44874904 50484267 64692414 67312356 86256552 100968534 129384828 134624712 201937068 258769656 403874136 600201841 1200403682 1800605523 2400807364 3601211046 4801614728 5401816569 7202422092 10803633138 14404844184 21607266276 43214532552