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4345135500 = 2235317916183
BaseRepresentation
bin1000000101111110…
…11000000110001100
3102012211010202100110
410002333120012030
532344323314000
61555055200020
7212451020346
oct40277300614
912184122313
104345135500
11192a796682
12a13216010
135432936c4
142d3116296
151a66ec850
hex102fd818c

4345135500 has 96 divisors (see below), whose sum is σ = 12724508160. Its totient is φ = 1152158400.

The previous prime is 4345135481. The next prime is 4345135513. The reversal of 4345135500 is 55315434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260409 + ... + 276591.

It is an arithmetic number, because the mean of its divisors is an integer number (132546960).

Almost surely, 24345135500 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 4345135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362254080).

4345135500 is an abundant number, since it is smaller than the sum of its proper divisors (8379372660).

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

4345135500 is a wasteful number, since it uses less digits than its factorization.

4345135500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16384 (or 16372 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 4345135500 is about 65917.6417964114. The cubic root of 4345135500 is about 1631.8031784579.

The spelling of 4345135500 in words is "four billion, three hundred forty-five million, one hundred thirty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 179 250 300 358 375 500 537 716 750 895 1074 1500 1790 2148 2685 3580 4475 5370 8950 10740 13425 16183 17900 22375 26850 32366 44750 48549 53700 64732 67125 80915 89500 97098 134250 161830 194196 242745 268500 323660 404575 485490 809150 970980 1213725 1618300 2022875 2427450 2896757 4045750 4854900 5793514 6068625 8091500 8690271 11587028 12137250 14483785 17380542 24274500 28967570 34761084 43451355 57935140 72418925 86902710 144837850 173805420 217256775 289675700 362094625 434513550 724189250 869027100 1086283875 1448378500 2172567750 4345135500